4,456,732

2² × 7 × 159169

4,456,732 factors as 2^2 × 7 × 159169. Its 12 positive divisors give a proper-divisor sum of 4,456,788, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 159169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,913,520

Proper Divisor Sum 4,456,788

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4456709 ← → #4456769

Radix Representation

Decimal	4456732
Binary	10001000000000100011100 (23 bits)
Octal	0o21000434
Hexadecimal	0x44011C

Divisor Catalog (12)

1 2 4 7 14 28 159,169 318,338 636,676 1,114,183 2,228,366 4,456,732

Collatz Trajectory (193 steps to reach 1)

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

4,456,732 2,228,366 1,114,183 3,342,550 1,671,275 5,013,826 2,506,913 7,520,740 3,760,370 1,880,185 5,640,556 2,820,278 1,410,139 4,230,418 2,115,209 6,345,628 3,172,814 1,586,407 4,759,222 2,379,611 7,138,834 3,569,417 10,708,252 5,354,126 2,677,063 8,031,190 4,015,595 12,046,786 6,023,393 18,070,180 9,035,090 4,517,545 13,552,636 6,776,318 3,388,159 10,164,478 5,082,239 15,246,718 7,623,359 22,870,078 11,435,039 34,305,118 17,152,559 51,457,678 25,728,839 77,186,518 38,593,259 115,779,778 57,889,889 173,669,668 86,834,834 43,417,417 130,252,252 65,126,126 32,563,063 97,689,190 48,844,595 146,533,786 73,266,893 219,800,680

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