7,992,648

2³ × 3³ × 37003

7,992,648 factors as 2^3 × 3^3 × 37003. Its 32 positive divisors give a proper-divisor sum of 14,209,752, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 37003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,202,400

Proper Divisor Sum 14,209,752

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7992619 ← → #7992659

Radix Representation

Decimal	7992648
Binary	11110011111010101001000 (23 bits)
Octal	0o36372510
Hexadecimal	0x79F548

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37,003 74,006 111,009 148,012 222,018 296,024 333,027 444,036 666,054 888,072 999,081 1,332,108 1,998,162 2,664,216 3,996,324 7,992,648

Collatz Trajectory (186 steps to reach 1)

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

7,992,648 3,996,324 1,998,162 999,081 2,997,244 1,498,622 749,311 2,247,934 1,123,967 3,371,902 1,685,951 5,057,854 2,528,927 7,586,782 3,793,391 11,380,174 5,690,087 17,070,262 8,535,131 25,605,394 12,802,697 38,408,092 19,204,046 9,602,023 28,806,070 14,403,035 43,209,106 21,604,553 64,813,660 32,406,830 16,203,415 48,610,246 24,305,123 72,915,370 36,457,685 109,373,056 54,686,528 27,343,264 13,671,632 6,835,816 3,417,908 1,708,954 854,477 2,563,432 1,281,716 640,858 320,429 961,288 480,644 240,322 120,161 360,484 180,242 90,121 270,364 135,182 67,591 202,774 101,387 304,162

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