λ
Prime Ledger

7,475,092

22 × 23 × 31 × 2621
Deficient Even Composite

7,475,092 has the prime decomposition 2^2 × 23 × 31 × 2621. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,095,872
Proper Divisor Sum 6,620,780
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7475089 ← → #7475101

Radix Representation

Decimal 7475092
Binary 11100100000111110010100 (23 bits)
Octal 0o34407624
Hexadecimal 0x720F94

Divisor Catalog (24)

1 2 4 23 31 46 62 92 124 713 1,426 2,621 2,852 5,242 10,484 60,283 81,251 120,566 162,502 241,132 325,004 1,868,773 3,737,546 7,475,092

Collatz Trajectory (134 steps to reach 1)

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

7,475,092 3,737,546 1,868,773 5,606,320 2,803,160 1,401,580 700,790 350,395 1,051,186 525,593 1,576,780 788,390 394,195 1,182,586 591,293 1,773,880 886,940 443,470 221,735 665,206 332,603 997,810 498,905 1,496,716 748,358 374,179 1,122,538 561,269 1,683,808 841,904 420,952 210,476 105,238 52,619 157,858 78,929 236,788 118,394 59,197 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416

More profiles

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