4,470,732

2² × 3² × 7 × 113 × 157

4,470,732 factors as 2^2 × 3^2 × 7 × 113 × 157. Its 72 positive divisors give a proper-divisor sum of 8,642,004, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 113 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,112,736

Proper Divisor Sum 8,642,004

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4470731 ← → #4470743

Radix Representation

Decimal	4470732
Binary	10001000011011111001100 (23 bits)
Octal	0o21033714
Hexadecimal	0x4437CC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 157 226 252 314 339 452 471 628 678 791 942 1,017 1,099 1,356 1,413 1,582 1,884 2,034 2,198 2,373 2,826 3,164 3,297 4,068 4,396 4,746 5,652 6,594 7,119 9,492 9,891 13,188 14,238 17,741 19,782 28,476 35,482 39,564 53,223 70,964 106,446 124,187

Collatz Trajectory (136 steps to reach 1)

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

4,470,732 2,235,366 1,117,683 3,353,050 1,676,525 5,029,576 2,514,788 1,257,394 628,697 1,886,092 943,046 471,523 1,414,570 707,285 2,121,856 1,060,928 530,464 265,232 132,616 66,308 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790

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