72,007,017

3 × 19 × 31 × 40751

72,007,017 factors as 3 × 19 × 31 × 40751. Its 16 positive divisors give a proper-divisor sum of 32,318,103, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3 × 19 × 31 × 40751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 104,325,120

Proper Divisor Sum 32,318,103

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #72007009 ← → #72007027

Radix Representation

Decimal	72007017
Binary	100010010101011110101101001 (27 bits)
Octal	0o422536551
Hexadecimal	0x44ABD69

Divisor Catalog (16)

1 3 19 31 57 93 589 1,767 40,751 122,253 774,269 1,263,281 2,322,807 3,789,843 24,002,339 72,007,017

Collatz Trajectory (140 steps to reach 1)

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

72,007,017 216,021,052 108,010,526 54,005,263 162,015,790 81,007,895 243,023,686 121,511,843 364,535,530 182,267,765 546,803,296 273,401,648 136,700,824 68,350,412 34,175,206 17,087,603 51,262,810 25,631,405 76,894,216 38,447,108 19,223,554 9,611,777 28,835,332 14,417,666 7,208,833 21,626,500 10,813,250 5,406,625 16,219,876 8,109,938 4,054,969 12,164,908 6,082,454 3,041,227 9,123,682 4,561,841 13,685,524 6,842,762 3,421,381 10,264,144 5,132,072 2,566,036 1,283,018 641,509 1,924,528 962,264 481,132 240,566 120,283 360,850 180,425 541,276 270,638 135,319 405,958 202,979 608,938 304,469 913,408 456,704

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