4,144,917

3 × 7 × 31 × 6367

4,144,917 factors as 3 × 7 × 31 × 6367. Its 16 positive divisors give a proper-divisor sum of 2,375,915, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3 × 7 × 31 × 6367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,520,832

Proper Divisor Sum 2,375,915

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4144913 ← → #4144919

Radix Representation

Decimal	4144917
Binary	1111110011111100010101 (22 bits)
Octal	0o17637425
Hexadecimal	0x3F3F15

Divisor Catalog (16)

1 3 7 21 31 93 217 651 6,367 19,101 44,569 133,707 197,377 592,131 1,381,639 4,144,917

Collatz Trajectory (123 steps to reach 1)

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

4,144,917 12,434,752 6,217,376 3,108,688 1,554,344 777,172 388,586 194,293 582,880 291,440 145,720 72,860 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591 157,774

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