1,100,631

3 × 7 × 17 × 3083

1,100,631 factors as 3 × 7 × 17 × 3083. Its 16 positive divisors give a proper-divisor sum of 675,753, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,776,384

Proper Divisor Sum 675,753

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1100611 ← → #1100641

Radix Representation

Decimal	1100631
Binary	100001100101101010111 (21 bits)
Octal	0o4145527
Hexadecimal	0x10CB57

Divisor Catalog (16)

1 3 7 17 21 51 119 357 3,083 9,249 21,581 52,411 64,743 157,233 366,877 1,100,631

Collatz Trajectory (147 steps to reach 1)

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

1,100,631 3,301,894 1,650,947 4,952,842 2,476,421 7,429,264 3,714,632 1,857,316 928,658 464,329 1,392,988 696,494 348,247 1,044,742 522,371 1,567,114 783,557 2,350,672 1,175,336 587,668 293,834 146,917 440,752 220,376 110,188 55,094 27,547 82,642 41,321 123,964 61,982 30,991 92,974 46,487 139,462 69,731 209,194 104,597 313,792 156,896 78,448 39,224 19,612 9,806 4,903 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983

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