72,047,072

2⁵ × 2251471

72,047,072 factors as 2^5 × 2251471. Its 12 positive divisors give a proper-divisor sum of 69,795,664, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^5 × 2251471

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 141,842,736

Proper Divisor Sum 69,795,664

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #72047051 ← → #72047081

Radix Representation

Decimal	72047072
Binary	100010010110101100111100000 (27 bits)
Octal	0o422654740
Hexadecimal	0x44B59E0

Divisor Catalog (12)

1 2 4 8 16 32 2,251,471 4,502,942 9,005,884 18,011,768 36,023,536 72,047,072

Collatz Trajectory (140 steps to reach 1)

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

72,047,072 36,023,536 18,011,768 9,005,884 4,502,942 2,251,471 6,754,414 3,377,207 10,131,622 5,065,811 15,197,434 7,598,717 22,796,152 11,398,076 5,699,038 2,849,519 8,548,558 4,274,279 12,822,838 6,411,419 19,234,258 9,617,129 28,851,388 14,425,694 7,212,847 21,638,542 10,819,271 32,457,814 16,228,907 48,686,722 24,343,361 73,030,084 36,515,042 18,257,521 54,772,564 27,386,282 13,693,141 41,079,424 20,539,712 10,269,856 5,134,928 2,567,464 1,283,732 641,866 320,933 962,800 481,400 240,700 120,350 60,175 180,526 90,263 270,790 135,395 406,186 203,093 609,280 304,640 152,320 76,160

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