13,705,690

2 × 5 × 29 × 167 × 283

13,705,690 factors as 2 × 5 × 29 × 167 × 283. Its 32 positive divisors give a proper-divisor sum of 12,058,790, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 167 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 25,764,480

Proper Divisor Sum 12,058,790

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13705673 ← → #13705697

Radix Representation

Decimal	13705690
Binary	110100010010000111011010 (24 bits)
Octal	0o64220732
Hexadecimal	0xD121DA

Divisor Catalog (32)

Collatz Trajectory (104 steps to reach 1)

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

13,705,690 6,852,845 20,558,536 10,279,268 5,139,634 2,569,817 7,709,452 3,854,726 1,927,363 5,782,090 2,891,045 8,673,136 4,336,568 2,168,284 1,084,142 542,071 1,626,214 813,107 2,439,322 1,219,661 3,658,984 1,829,492 914,746 457,373 1,372,120 686,060 343,030 171,515 514,546 257,273 771,820 385,910 192,955 578,866 289,433 868,300 434,150 217,075 651,226 325,613 976,840 488,420 244,210 122,105 366,316 183,158 91,579 274,738 137,369 412,108 206,054 103,027 309,082 154,541 463,624 231,812 115,906 57,953 173,860 86,930

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