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Atlas › Integer Profiles › Node 2,583,264

2,583,264

25 × 3 × 71 × 379
Abundant Even Composite

2,583,264 factors as 2^5 × 3 × 71 × 379. Its 48 positive divisors give a proper-divisor sum of 4,311,456, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 71 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,894,720
Proper Divisor Sum 4,311,456
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2583257 ← → #2583283

Radix Representation

Decimal 2583264
Binary 1001110110101011100000 (22 bits)
Octal 0o11665340
Hexadecimal 0x276AE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 379 426 568 758 852 1,136 1,137 1,516 1,704 2,272 2,274 3,032 3,408 4,548 6,064 6,816 9,096 12,128 18,192 26,909 36,384 53,818 80,727 107,636 161,454 215,272 322,908 430,544 645,816 861,088 1,291,632 2,583,264

Collatz Trajectory (112 steps to reach 1)

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

2,583,264 1,291,632 645,816 322,908 161,454 80,727 242,182 121,091 363,274 181,637 544,912 272,456 136,228 68,114 34,057 102,172 51,086 25,543 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324

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