7,960,199

13 × 17 × 181 × 199

7,960,199 factors as 13 × 17 × 181 × 199. Its 16 positive divisors give a proper-divisor sum of 1,212,601, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 13 × 17 × 181 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,172,800

Proper Divisor Sum 1,212,601

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7960189 ← → #7960201

Radix Representation

Decimal	7960199
Binary	11110010111011010000111 (23 bits)
Octal	0o36273207
Hexadecimal	0x797687

Divisor Catalog (16)

1 13 17 181 199 221 2,353 2,587 3,077 3,383 36,019 40,001 43,979 468,247 612,323 7,960,199

Collatz Trajectory (199 steps to reach 1)

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

7,960,199 23,880,598 11,940,299 35,820,898 17,910,449 53,731,348 26,865,674 13,432,837 40,298,512 20,149,256 10,074,628 5,037,314 2,518,657 7,555,972 3,777,986 1,888,993 5,666,980 2,833,490 1,416,745 4,250,236 2,125,118 1,062,559 3,187,678 1,593,839 4,781,518 2,390,759 7,172,278 3,586,139 10,758,418 5,379,209 16,137,628 8,068,814 4,034,407 12,103,222 6,051,611 18,154,834 9,077,417 27,232,252 13,616,126 6,808,063 20,424,190 10,212,095 30,636,286 15,318,143 45,954,430 22,977,215 68,931,646 34,465,823 103,397,470 51,698,735 155,096,206 77,548,103 232,644,310 116,322,155 348,966,466 174,483,233 523,449,700 261,724,850 130,862,425 392,587,276

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