72,007,157

79 × 307 × 2969

72,007,157 factors as 79 × 307 × 2969. Its 8 positive divisors give a proper-divisor sum of 1,173,643, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 79 × 307 × 2969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 73,180,800

Proper Divisor Sum 1,173,643

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #72007153 ← → #72007213

Radix Representation

Decimal	72007157
Binary	100010010101011110111110101 (27 bits)
Octal	0o422536765
Hexadecimal	0x44ABDF5

Divisor Catalog (8)

1 79 307 2,969 24,253 234,551 911,483 72,007,157

Collatz Trajectory (277 steps to reach 1)

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

72,007,157 216,021,472 108,010,736 54,005,368 27,002,684 13,501,342 6,750,671 20,252,014 10,126,007 30,378,022 15,189,011 45,567,034 22,783,517 68,350,552 34,175,276 17,087,638 8,543,819 25,631,458 12,815,729 38,447,188 19,223,594 9,611,797 28,835,392 14,417,696 7,208,848 3,604,424 1,802,212 901,106 450,553 1,351,660 675,830 337,915 1,013,746 506,873 1,520,620 760,310 380,155 1,140,466 570,233 1,710,700 855,350 427,675 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220

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