42,808,320

2¹⁰ × 3² × 5 × 929

42,808,320 factors as 2^10 × 3^2 × 5 × 929. Its 132 positive divisors give a proper-divisor sum of 105,681,060, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^10 × 3^2 × 5 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 132

Divisor Sum (σ) 148,489,380

Proper Divisor Sum 105,681,060

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #42808319 ← → #42808327

Radix Representation

Decimal	42808320
Binary	10100011010011010000000000 (26 bits)
Octal	0o243232000
Hexadecimal	0x28D3400

Divisor Catalog (60 of 132)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 929 960 1,024 1,152 1,280 1,440 1,536 1,858 1,920 2,304 2,560 2,787 2,880 3,072 3,716

Collatz Trajectory (98 steps to reach 1)

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

42,808,320 21,404,160 10,702,080 5,351,040 2,675,520 1,337,760 668,880 334,440 167,220 83,610 41,805 125,416 62,708 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258

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