1,691,014

2 × 13² × 5003

1,691,014 factors as 2 × 13^2 × 5003. Its 12 positive divisors give a proper-divisor sum of 1,056,182, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 5003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,747,196

Proper Divisor Sum 1,056,182

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1691003 ← → #1691023

Radix Representation

Decimal	1691014
Binary	110011100110110000110 (21 bits)
Octal	0o6346606
Hexadecimal	0x19CD86

Divisor Catalog (12)

1 2 13 26 169 338 5,003 10,006 65,039 130,078 845,507 1,691,014

Collatz Trajectory (158 steps to reach 1)

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

1,691,014 845,507 2,536,522 1,268,261 3,804,784 1,902,392 951,196 475,598 237,799 713,398 356,699 1,070,098 535,049 1,605,148 802,574 401,287 1,203,862 601,931 1,805,794 902,897 2,708,692 1,354,346 677,173 2,031,520 1,015,760 507,880 253,940 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760

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