513,646

2 × 7 × 19 × 1931

513,646 factors as 2 × 7 × 19 × 1931. Its 16 positive divisors give a proper-divisor sum of 413,714, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 1931

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 927,360

Proper Divisor Sum 413,714

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #513641 ← → #513649

Radix Representation

Decimal	513646
Binary	1111101011001101110 (19 bits)
Octal	0o1753156
Hexadecimal	0x7D66E

Divisor Catalog (16)

1 2 7 14 19 38 133 266 1,931 3,862 13,517 27,034 36,689 73,378 256,823 513,646

Collatz Trajectory (195 steps to reach 1)

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

513,646 256,823 770,470 385,235 1,155,706 577,853 1,733,560 866,780 433,390 216,695 650,086 325,043 975,130 487,565 1,462,696 731,348 365,674 182,837 548,512 274,256 137,128 68,564 34,282 17,141 51,424 25,712 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266

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