7,792,271

29 × 47 × 5717

7,792,271 factors as 29 × 47 × 5717. Its 8 positive divisors give a proper-divisor sum of 441,649, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 29 × 47 × 5717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,233,920

Proper Divisor Sum 441,649

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7792207 ← → #7792297

Radix Representation

Decimal	7792271
Binary	11101101110011010001111 (23 bits)
Octal	0o35563217
Hexadecimal	0x76E68F

Divisor Catalog (8)

1 29 47 1,363 5,717 165,793 268,699 7,792,271

Collatz Trajectory (98 steps to reach 1)

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

7,792,271 23,376,814 11,688,407 35,065,222 17,532,611 52,597,834 26,298,917 78,896,752 39,448,376 19,724,188 9,862,094 4,931,047 14,793,142 7,396,571 22,189,714 11,094,857 33,284,572 16,642,286 8,321,143 24,963,430 12,481,715 37,445,146 18,722,573 56,167,720 28,083,860 14,041,930 7,020,965 21,062,896 10,531,448 5,265,724 2,632,862 1,316,431 3,949,294 1,974,647 5,923,942 2,961,971 8,885,914 4,442,957 13,328,872 6,664,436 3,332,218 1,666,109 4,998,328 2,499,164 1,249,582 624,791 1,874,374 937,187 2,811,562 1,405,781 4,217,344 2,108,672 1,054,336 527,168 263,584 131,792 65,896 32,948 16,474 8,237

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