λ
Ratio Atlas

72,531,035

5 × 14506207
Deficient Odd Composite

72,531,035 factors as 5 × 14506207. Its 4 positive divisors give a proper-divisor sum of 14,506,213, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 5 × 14506207
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 87,037,248
Proper Divisor Sum 14,506,213
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72531031 ← → #72531047

Radix Representation

Decimal 72531035
Binary 100010100101011110001011011 (27 bits)
Octal 0o424536133
Hexadecimal 0x452BC5B

Divisor Catalog (4)

Collatz Trajectory (259 steps to reach 1)

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

72,531,035 217,593,106 108,796,553 326,389,660 163,194,830 81,597,415 244,792,246 122,396,123 367,188,370 183,594,185 550,782,556 275,391,278 137,695,639 413,086,918 206,543,459 619,630,378 309,815,189 929,445,568 464,722,784 232,361,392 116,180,696 58,090,348 29,045,174 14,522,587 43,567,762 21,783,881 65,351,644 32,675,822 16,337,911 49,013,734 24,506,867 73,520,602 36,760,301 110,280,904 55,140,452 27,570,226 13,785,113 41,355,340 20,677,670 10,338,835 31,016,506 15,508,253 46,524,760 23,262,380 11,631,190 5,815,595 17,446,786 8,723,393 26,170,180 13,085,090 6,542,545 19,627,636 9,813,818 4,906,909 14,720,728 7,360,364 3,680,182 1,840,091 5,520,274 2,760,137

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