λ
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2,425,152

26 × 3 × 17 × 743
Abundant Even Composite

2,425,152 factors as 2^6 × 3 × 17 × 743. Its 56 positive divisors give a proper-divisor sum of 4,377,984, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 17 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,803,136
Proper Divisor Sum 4,377,984
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2425139 ← → #2425193

Radix Representation

Decimal 2425152
Binary 1001010000000101000000 (22 bits)
Octal 0o11200500
Hexadecimal 0x250140

Divisor Catalog (56)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 743 816 1,088 1,486 1,632 2,229 2,972 3,264 4,458 5,944 8,916 11,888 12,631 17,832 23,776 25,262 35,664 37,893 47,552 50,524 71,328 75,786 101,048 142,656 151,572 202,096 303,144 404,192 606,288 808,384 1,212,576 2,425,152

Collatz Trajectory (68 steps to reach 1)

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

2,425,152 1,212,576 606,288 303,144 151,572 75,786 37,893 113,680 56,840 28,420 14,210 7,105 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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