72,532,010

2 × 5 × 7253201

72,532,010 factors as 2 × 5 × 7253201. Its 8 positive divisors give a proper-divisor sum of 58,025,626, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7253201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 130,557,636

Proper Divisor Sum 58,025,626

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #72531973 ← → #72532021

Radix Representation

Decimal	72532010
Binary	100010100101100000000101010 (27 bits)
Octal	0o424540052
Hexadecimal	0x452C02A

Divisor Catalog (8)

1 2 5 10 7,253,201 14,506,402 36,266,005 72,532,010

Collatz Trajectory (215 steps to reach 1)

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

72,532,010 36,266,005 108,798,016 54,399,008 27,199,504 13,599,752 6,799,876 3,399,938 1,699,969 5,099,908 2,549,954 1,274,977 3,824,932 1,912,466 956,233 2,868,700 1,434,350 717,175 2,151,526 1,075,763 3,227,290 1,613,645 4,840,936 2,420,468 1,210,234 605,117 1,815,352 907,676 453,838 226,919 680,758 340,379 1,021,138 510,569 1,531,708 765,854 382,927 1,148,782 574,391 1,723,174 861,587 2,584,762 1,292,381 3,877,144 1,938,572 969,286 484,643 1,453,930 726,965 2,180,896 1,090,448 545,224 272,612 136,306 68,153 204,460 102,230 51,115 153,346 76,673

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