8,480,732

2² × 13 × 31 × 5261

8,480,732 factors as 2^2 × 13 × 31 × 5261. Its 24 positive divisors give a proper-divisor sum of 8,020,900, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 5261

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,501,632

Proper Divisor Sum 8,020,900

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8480699 ← → #8480741

Radix Representation

Decimal	8480732
Binary	100000010110011111011100 (24 bits)
Octal	0o40263734
Hexadecimal	0x8167DC

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 5,261 10,522 21,044 68,393 136,786 163,091 273,572 326,182 652,364 2,120,183 4,240,366 8,480,732

Collatz Trajectory (106 steps to reach 1)

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

8,480,732 4,240,366 2,120,183 6,360,550 3,180,275 9,540,826 4,770,413 14,311,240 7,155,620 3,577,810 1,788,905 5,366,716 2,683,358 1,341,679 4,025,038 2,012,519 6,037,558 3,018,779 9,056,338 4,528,169 13,584,508 6,792,254 3,396,127 10,188,382 5,094,191 15,282,574 7,641,287 22,923,862 11,461,931 34,385,794 17,192,897 51,578,692 25,789,346 12,894,673 38,684,020 19,342,010 9,671,005 29,013,016 14,506,508 7,253,254 3,626,627 10,879,882 5,439,941 16,319,824 8,159,912 4,079,956 2,039,978 1,019,989 3,059,968 1,529,984 764,992 382,496 191,248 95,624 47,812 23,906 11,953 35,860 17,930 8,965

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