7,527,834

2 × 3² × 113 × 3701

7,527,834 factors as 2 × 3^2 × 113 × 3701. Its 24 positive divisors give a proper-divisor sum of 8,931,258, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 113 × 3701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,459,092

Proper Divisor Sum 8,931,258

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7527797 ← → #7527841

Radix Representation

Decimal	7527834
Binary	11100101101110110011010 (23 bits)
Octal	0o34556632
Hexadecimal	0x72DD9A

Divisor Catalog (24)

1 2 3 6 9 18 113 226 339 678 1,017 2,034 3,701 7,402 11,103 22,206 33,309 66,618 418,213 836,426 1,254,639 2,509,278 3,763,917 7,527,834

Collatz Trajectory (85 steps to reach 1)

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

7,527,834 3,763,917 11,291,752 5,645,876 2,822,938 1,411,469 4,234,408 2,117,204 1,058,602 529,301 1,587,904 793,952 396,976 198,488 99,244 49,622 24,811 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935 62,806 31,403 94,210 47,105 141,316 70,658 35,329 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308 25,154 12,577 37,732 18,866 9,433 28,300 14,150 7,075 21,226 10,613 31,840 15,920 7,960

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