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Atlas › Integer Profiles › Node 11,470,424

11,470,424

23 × 7 × 257 × 797
Abundant Even Composite

11,470,424 factors as 2^3 × 7 × 257 × 797. Its 32 positive divisors give a proper-divisor sum of 13,235,656, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 257 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,706,080
Proper Divisor Sum 13,235,656
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11470421 ← → #11470453

Radix Representation

Decimal 11470424
Binary 101011110000011001011000 (24 bits)
Octal 0o53603130
Hexadecimal 0xAF0658

Divisor Catalog (32)

1 2 4 7 8 14 28 56 257 514 797 1,028 1,594 1,799 2,056 3,188 3,598 5,579 6,376 7,196 11,158 14,392 22,316 44,632 204,829 409,658 819,316 1,433,803 1,638,632 2,867,606 5,735,212 11,470,424

Collatz Trajectory (202 steps to reach 1)

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

11,470,424 5,735,212 2,867,606 1,433,803 4,301,410 2,150,705 6,452,116 3,226,058 1,613,029 4,839,088 2,419,544 1,209,772 604,886 302,443 907,330 453,665 1,360,996 680,498 340,249 1,020,748 510,374 255,187 765,562 382,781 1,148,344 574,172 287,086 143,543 430,630 215,315 645,946 322,973 968,920 484,460 242,230 121,115 363,346 181,673 545,020 272,510 136,255 408,766 204,383 613,150 306,575 919,726 459,863 1,379,590 689,795 2,069,386 1,034,693 3,104,080 1,552,040 776,020 388,010 194,005 582,016 291,008 145,504 72,752

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