λ
Prime Ledger

3,736,407

3 × 19 × 65551
Deficient Odd Composite

3,736,407 has the prime decomposition 3 × 19 × 65551. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 65551
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,244,160
Proper Divisor Sum 1,507,753
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3736393 ← → #3736409

Radix Representation

Decimal 3736407
Binary 1110010000001101010111 (22 bits)
Octal 0o16201527
Hexadecimal 0x390357

Divisor Catalog (8)

1 3 19 57 65,551 196,653 1,245,469 3,736,407

Collatz Trajectory (133 steps to reach 1)

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

3,736,407 11,209,222 5,604,611 16,813,834 8,406,917 25,220,752 12,610,376 6,305,188 3,152,594 1,576,297 4,728,892 2,364,446 1,182,223 3,546,670 1,773,335 5,320,006 2,660,003 7,980,010 3,990,005 11,970,016 5,985,008 2,992,504 1,496,252 748,126 374,063 1,122,190 561,095 1,683,286 841,643 2,524,930 1,262,465 3,787,396 1,893,698 946,849 2,840,548 1,420,274 710,137 2,130,412 1,065,206 532,603 1,597,810 798,905 2,396,716 1,198,358 599,179 1,797,538 898,769 2,696,308 1,348,154 674,077 2,022,232 1,011,116 505,558 252,779 758,338 379,169 1,137,508 568,754 284,377 853,132

More profiles

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