λ
Ratio Atlas

72,041,287

72041287
Deficient Odd Prime

72,041,287 factors as 72041287. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 72041287
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 72,041,288
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #72041279 ← → #72041309

Radix Representation

Decimal 72041287
Binary 100010010110100001101000111 (27 bits)
Octal 0o422641507
Hexadecimal 0x44B4347

Divisor Catalog (2)

Collatz Trajectory (96 steps to reach 1)

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

72,041,287 216,123,862 108,061,931 324,185,794 162,092,897 486,278,692 243,139,346 121,569,673 364,709,020 182,354,510 91,177,255 273,531,766 136,765,883 410,297,650 205,148,825 615,446,476 307,723,238 153,861,619 461,584,858 230,792,429 692,377,288 346,188,644 173,094,322 86,547,161 259,641,484 129,820,742 64,910,371 194,731,114 97,365,557 292,096,672 146,048,336 73,024,168 36,512,084 18,256,042 9,128,021 27,384,064 13,692,032 6,846,016 3,423,008 1,711,504 855,752 427,876 213,938 106,969 320,908 160,454 80,227 240,682 120,341 361,024 180,512 90,256 45,128 22,564 11,282 5,641 16,924 8,462 4,231 12,694

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