4,679,948

2² × 7 × 13² × 23 × 43

4,679,948 factors as 2^2 × 7 × 13^2 × 23 × 43. Its 72 positive divisors give a proper-divisor sum of 6,141,940, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 23 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 10,821,888

Proper Divisor Sum 6,141,940

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #4679929 ← → #4679951

Radix Representation

Decimal	4679948
Binary	10001110110100100001100 (23 bits)
Octal	0o21664414
Hexadecimal	0x47690C

Divisor Catalog (60 of 72)

1 2 4 7 13 14 23 26 28 43 46 52 86 91 92 161 169 172 182 299 301 322 338 364 559 598 602 644 676 989 1,118 1,183 1,196 1,204 1,978 2,093 2,236 2,366 3,887 3,913 3,956 4,186 4,732 6,923 7,267 7,774 7,826 8,372 12,857 13,846 14,534 15,548 15,652 25,714 27,209 27,692 29,068 50,869 51,428 54,418

Collatz Trajectory (74 steps to reach 1)

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

4,679,948 2,339,974 1,169,987 3,509,962 1,754,981 5,264,944 2,632,472 1,316,236 658,118 329,059 987,178 493,589 1,480,768 740,384 370,192 185,096 92,548 46,274 23,137 69,412 34,706 17,353 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23

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