λ
Ratio Atlas

72,996,751

137 × 532823
Deficient Odd Composite

72,996,751 factors as 137 × 532823. Its 4 positive divisors give a proper-divisor sum of 532,961, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 137 × 532823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 73,529,712
Proper Divisor Sum 532,961
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #72996743 ← → #72996761

Radix Representation

Decimal 72996751
Binary 100010110011101011110001111 (27 bits)
Octal 0o426353617
Hexadecimal 0x459D78F

Divisor Catalog (4)

Collatz Trajectory (246 steps to reach 1)

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

72,996,751 218,990,254 109,495,127 328,485,382 164,242,691 492,728,074 246,364,037 739,092,112 369,546,056 184,773,028 92,386,514 46,193,257 138,579,772 69,289,886 34,644,943 103,934,830 51,967,415 155,902,246 77,951,123 233,853,370 116,926,685 350,780,056 175,390,028 87,695,014 43,847,507 131,542,522 65,771,261 197,313,784 98,656,892 49,328,446 24,664,223 73,992,670 36,996,335 110,989,006 55,494,503 166,483,510 83,241,755 249,725,266 124,862,633 374,587,900 187,293,950 93,646,975 280,940,926 140,470,463 421,411,390 210,705,695 632,117,086 316,058,543 948,175,630 474,087,815 1,422,263,446 711,131,723 2,133,395,170 1,066,697,585 3,200,092,756 1,600,046,378 800,023,189 2,400,069,568 1,200,034,784 600,017,392

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