27,697,423

13 × 37 × 89 × 647

27,697,423 factors as 13 × 37 × 89 × 647. Its 16 positive divisors give a proper-divisor sum of 3,328,817, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 13 × 37 × 89 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 31,026,240

Proper Divisor Sum 3,328,817

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27697393 ← → #27697447

Radix Representation

Decimal	27697423
Binary	1101001101010000100001111 (25 bits)
Octal	0o151520417
Hexadecimal	0x1A6A10F

Divisor Catalog (16)

1 13 37 89 481 647 1,157 3,293 8,411 23,939 42,809 57,583 311,207 748,579 2,130,571 27,697,423

Collatz Trajectory (162 steps to reach 1)

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

27,697,423 83,092,270 41,546,135 124,638,406 62,319,203 186,957,610 93,478,805 280,436,416 140,218,208 70,109,104 35,054,552 17,527,276 8,763,638 4,381,819 13,145,458 6,572,729 19,718,188 9,859,094 4,929,547 14,788,642 7,394,321 22,182,964 11,091,482 5,545,741 16,637,224 8,318,612 4,159,306 2,079,653 6,238,960 3,119,480 1,559,740 779,870 389,935 1,169,806 584,903 1,754,710 877,355 2,632,066 1,316,033 3,948,100 1,974,050 987,025 2,961,076 1,480,538 740,269 2,220,808 1,110,404 555,202 277,601 832,804 416,402 208,201 624,604 312,302 156,151 468,454 234,227 702,682 351,341 1,054,024

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