7,403,201

13 × 613 × 929

7,403,201 factors as 13 × 613 × 929. Its 8 positive divisors give a proper-divisor sum of 591,079, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 13 × 613 × 929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,994,280

Proper Divisor Sum 591,079

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7403197 ← → #7403213

Radix Representation

Decimal	7403201
Binary	11100001111011011000001 (23 bits)
Octal	0o34173301
Hexadecimal	0x70F6C1

Divisor Catalog (8)

1 13 613 929 7,969 12,077 569,477 7,403,201

Collatz Trajectory (173 steps to reach 1)

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

7,403,201 22,209,604 11,104,802 5,552,401 16,657,204 8,328,602 4,164,301 12,492,904 6,246,452 3,123,226 1,561,613 4,684,840 2,342,420 1,171,210 585,605 1,756,816 878,408 439,204 219,602 109,801 329,404 164,702 82,351 247,054 123,527 370,582 185,291 555,874 277,937 833,812 416,906 208,453 625,360 312,680 156,340 78,170 39,085 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773 2,320 1,160 580 290 145 436 218

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