λ
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Atlas › Integer Profiles › Node 6,428,713

6,428,713

37 × 293 × 593
Deficient Odd Composite

6,428,713 has the prime decomposition 37 × 293 × 593. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 293 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,636,168
Proper Divisor Sum 207,455
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6428693 ← → #6428731

Radix Representation

Decimal 6428713
Binary 11000100001100000101001 (23 bits)
Octal 0o30414051
Hexadecimal 0x621829

Divisor Catalog (8)

1 37 293 593 10,841 21,941 173,749 6,428,713

Collatz Trajectory (408 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,428,713 19,286,140 9,643,070 4,821,535 14,464,606 7,232,303 21,696,910 10,848,455 32,545,366 16,272,683 48,818,050 24,409,025 73,227,076 36,613,538 18,306,769 54,920,308 27,460,154 13,730,077 41,190,232 20,595,116 10,297,558 5,148,779 15,446,338 7,723,169 23,169,508 11,584,754 5,792,377 17,377,132 8,688,566 4,344,283 13,032,850 6,516,425 19,549,276 9,774,638 4,887,319 14,661,958 7,330,979 21,992,938 10,996,469 32,989,408 16,494,704 8,247,352 4,123,676 2,061,838 1,030,919 3,092,758 1,546,379 4,639,138 2,319,569 6,958,708 3,479,354 1,739,677 5,219,032 2,609,516 1,304,758 652,379 1,957,138 978,569 2,935,708 1,467,854

More profiles

3,142,205 6,665,105 8,114,659 4,017,913 133,054 7,082,478 4,215,341 8,073,153 5,362,004 1,820,521 6,605,096 8,573,047 3,387,037 5,521,262 417,188 7,744,618
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