7,625,971

829 × 9199

7,625,971 factors as 829 × 9199. Its 4 positive divisors give a proper-divisor sum of 10,029, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 829 × 9199

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,636,000

Proper Divisor Sum 10,029

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7625951 ← → #7625987

Radix Representation

Decimal	7625971
Binary	11101000101110011110011 (23 bits)
Octal	0o35056363
Hexadecimal	0x745CF3

Divisor Catalog (4)

1 829 9,199 7,625,971

Collatz Trajectory (248 steps to reach 1)

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

7,625,971 22,877,914 11,438,957 34,316,872 17,158,436 8,579,218 4,289,609 12,868,828 6,434,414 3,217,207 9,651,622 4,825,811 14,477,434 7,238,717 21,716,152 10,858,076 5,429,038 2,714,519 8,143,558 4,071,779 12,215,338 6,107,669 18,323,008 9,161,504 4,580,752 2,290,376 1,145,188 572,594 286,297 858,892 429,446 214,723 644,170 322,085 966,256 483,128 241,564 120,782 60,391 181,174 90,587 271,762 135,881 407,644 203,822 101,911 305,734 152,867 458,602 229,301 687,904 343,952 171,976 85,988 42,994 21,497 64,492 32,246 16,123 48,370

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