λ
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7,652,008

23 × 7 × 13 × 23 × 457
Abundant Even Composite

7,652,008 factors as 2^3 × 7 × 13 × 23 × 457. Its 64 positive divisors give a proper-divisor sum of 10,814,552, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 23 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,466,560
Proper Divisor Sum 10,814,552
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7651999 ← → #7652011

Radix Representation

Decimal 7652008
Binary 11101001100001010101000 (23 bits)
Octal 0o35141250
Hexadecimal 0x74C2A8

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 457 598 644 728 914 1,196 1,288 1,828 2,093 2,392 3,199 3,656 4,186 5,941 6,398 8,372 10,511 11,882 12,796 16,744 21,022 23,764 25,592 41,587 42,044 47,528 73,577 83,174 84,088 136,643 147,154 166,348 273,286 294,308 332,696 546,572 588,616 956,501

Collatz Trajectory (80 steps to reach 1)

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

7,652,008 3,826,004 1,913,002 956,501 2,869,504 1,434,752 717,376 358,688 179,344 89,672 44,836 22,418 11,209 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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