30,736,216

2³ × 7 × 548861

30,736,216 factors as 2^3 × 7 × 548861. Its 16 positive divisors give a proper-divisor sum of 35,127,224, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 548861

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 65,863,440

Proper Divisor Sum 35,127,224

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #30736193 ← → #30736217

Radix Representation

Decimal	30736216
Binary	1110101001111111101011000 (25 bits)
Octal	0o165177530
Hexadecimal	0x1D4FF58

Divisor Catalog (16)

1 2 4 7 8 14 28 56 548,861 1,097,722 2,195,444 3,842,027 4,390,888 7,684,054 15,368,108 30,736,216

Collatz Trajectory (126 steps to reach 1)

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

30,736,216 15,368,108 7,684,054 3,842,027 11,526,082 5,763,041 17,289,124 8,644,562 4,322,281 12,966,844 6,483,422 3,241,711 9,725,134 4,862,567 14,587,702 7,293,851 21,881,554 10,940,777 32,822,332 16,411,166 8,205,583 24,616,750 12,308,375 36,925,126 18,462,563 55,387,690 27,693,845 83,081,536 41,540,768 20,770,384 10,385,192 5,192,596 2,596,298 1,298,149 3,894,448 1,947,224 973,612 486,806 243,403 730,210 365,105 1,095,316 547,658 273,829 821,488 410,744 205,372 102,686 51,343 154,030 77,015 231,046 115,523 346,570 173,285 519,856 259,928 129,964 64,982 32,491

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