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Atlas › Integer Profiles › Node 2,452,152

2,452,152

23 × 3 × 83 × 1231
Abundant Even Composite

2,452,152 factors as 2^3 × 3 × 83 × 1231. Its 32 positive divisors give a proper-divisor sum of 3,757,128, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 83 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,209,280
Proper Divisor Sum 3,757,128
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2452147 ← → #2452181

Radix Representation

Decimal 2452152
Binary 1001010110101010111000 (22 bits)
Octal 0o11265270
Hexadecimal 0x256AB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1,231 1,992 2,462 3,693 4,924 7,386 9,848 14,772 29,544 102,173 204,346 306,519 408,692 613,038 817,384 1,226,076 2,452,152

Collatz Trajectory (161 steps to reach 1)

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

2,452,152 1,226,076 613,038 306,519 919,558 459,779 1,379,338 689,669 2,069,008 1,034,504 517,252 258,626 129,313 387,940 193,970 96,985 290,956 145,478 72,739 218,218 109,109 327,328 163,664 81,832 40,916 20,458 10,229 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572

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