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Atlas › Integer Profiles › Node 1,626,880

1,626,880

28 × 5 × 31 × 41
Abundant Even Composite

1,626,880 factors as 2^8 × 5 × 31 × 41. Its 72 positive divisors give a proper-divisor sum of 2,493,824, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 31 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 4,120,704
Proper Divisor Sum 2,493,824
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1626829 ← → #1626881

Radix Representation

Decimal 1626880
Binary 110001101001100000000 (21 bits)
Octal 0o6151400
Hexadecimal 0x18D300

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 128 155 160 164 205 248 256 310 320 328 410 496 620 640 656 820 992 1,240 1,271 1,280 1,312 1,640 1,984 2,480 2,542 2,624 3,280 3,968 4,960 5,084 5,248 6,355 6,560 7,936 9,920 10,168 10,496 12,710 13,120 19,840 20,336 25,420 26,240

Collatz Trajectory (62 steps to reach 1)

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

1,626,880 813,440 406,720 203,360 101,680 50,840 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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