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Atlas › Integer Profiles › Node 2,525,808

2,525,808

24 × 3 × 101 × 521
Abundant Even Composite

2,525,808 factors as 2^4 × 3 × 101 × 521. Its 40 positive divisors give a proper-divisor sum of 4,076,448, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 101 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,602,256
Proper Divisor Sum 4,076,448
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2525807 ← → #2525851

Radix Representation

Decimal 2525808
Binary 1001101000101001110000 (22 bits)
Octal 0o11505160
Hexadecimal 0x268A70

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 101 202 303 404 521 606 808 1,042 1,212 1,563 1,616 2,084 2,424 3,126 4,168 4,848 6,252 8,336 12,504 25,008 52,621 105,242 157,863 210,484 315,726 420,968 631,452 841,936 1,262,904 2,525,808

Collatz Trajectory (156 steps to reach 1)

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

2,525,808 1,262,904 631,452 315,726 157,863 473,590 236,795 710,386 355,193 1,065,580 532,790 266,395 799,186 399,593 1,198,780 599,390 299,695 899,086 449,543 1,348,630 674,315 2,022,946 1,011,473 3,034,420 1,517,210 758,605 2,275,816 1,137,908 568,954 284,477 853,432 426,716 213,358 106,679 320,038 160,019 480,058 240,029 720,088 360,044 180,022 90,011 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162 64,081 192,244 96,122

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