2,428,160

2⁸ × 5 × 7 × 271

2,428,160 factors as 2^8 × 5 × 7 × 271. Its 72 positive divisors give a proper-divisor sum of 4,243,456, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 7 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,671,616

Proper Divisor Sum 4,243,456

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2428159 ← → #2428163

Radix Representation

Decimal	2428160
Binary	1001010000110100000000 (22 bits)
Octal	0o11206400
Hexadecimal	0x250D00

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 271 280 320 448 542 560 640 896 1,084 1,120 1,280 1,355 1,792 1,897 2,168 2,240 2,710 3,794 4,336 4,480 5,420 7,588 8,672 8,960 9,485 10,840 15,176 17,344 18,970 21,680 30,352 34,688 37,940 43,360 60,704 69,376

Collatz Trajectory (161 steps to reach 1)

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

2,428,160 1,214,080 607,040 303,520 151,760 75,880 37,940 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430

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