λ
Ratio Atlas

42,559,465

5 × 13 × 43 × 15227
Deficient Odd Composite

42,559,465 factors as 5 × 13 × 43 × 15227. Its 16 positive divisors give a proper-divisor sum of 13,723,223, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 5 × 13 × 43 × 15227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 56,282,688
Proper Divisor Sum 13,723,223
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #42559441 ← → #42559471

Radix Representation

Decimal 42559465
Binary 10100010010110011111101001 (26 bits)
Octal 0o242263751
Hexadecimal 0x28967E9

Divisor Catalog (16)

Collatz Trajectory (173 steps to reach 1)

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

42,559,465 127,678,396 63,839,198 31,919,599 95,758,798 47,879,399 143,638,198 71,819,099 215,457,298 107,728,649 323,185,948 161,592,974 80,796,487 242,389,462 121,194,731 363,584,194 181,792,097 545,376,292 272,688,146 136,344,073 409,032,220 204,516,110 102,258,055 306,774,166 153,387,083 460,161,250 230,080,625 690,241,876 345,120,938 172,560,469 517,681,408 258,840,704 129,420,352 64,710,176 32,355,088 16,177,544 8,088,772 4,044,386 2,022,193 6,066,580 3,033,290 1,516,645 4,549,936 2,274,968 1,137,484 568,742 284,371 853,114 426,557 1,279,672 639,836 319,918 159,959 479,878 239,939 719,818 359,909 1,079,728 539,864 269,932

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