72,124,262

2 × 7 × 383 × 13451

72,124,262 factors as 2 × 7 × 383 × 13451. Its 16 positive divisors give a proper-divisor sum of 51,849,370, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 7 × 383 × 13451

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 123,973,632

Proper Divisor Sum 51,849,370

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #72124243 ← → #72124267

Radix Representation

Decimal	72124262
Binary	100010011001000011101100110 (27 bits)
Octal	0o423103546
Hexadecimal	0x44C8766

Divisor Catalog (16)

1 2 7 14 383 766 2,681 5,362 13,451 26,902 94,157 188,314 5,151,733 10,303,466 36,062,131 72,124,262

Collatz Trajectory (140 steps to reach 1)

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

72,124,262 36,062,131 108,186,394 54,093,197 162,279,592 81,139,796 40,569,898 20,284,949 60,854,848 30,427,424 15,213,712 7,606,856 3,803,428 1,901,714 950,857 2,852,572 1,426,286 713,143 2,139,430 1,069,715 3,209,146 1,604,573 4,813,720 2,406,860 1,203,430 601,715 1,805,146 902,573 2,707,720 1,353,860 676,930 338,465 1,015,396 507,698 253,849 761,548 380,774 190,387 571,162 285,581 856,744 428,372 214,186 107,093 321,280 160,640 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119

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