27,966,991

13 × 29 × 31 × 2393

27,966,991 factors as 13 × 29 × 31 × 2393. Its 16 positive divisors give a proper-divisor sum of 4,208,369, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 13 × 29 × 31 × 2393

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 32,175,360

Proper Divisor Sum 4,208,369

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #27966979 ← → #27967013

Radix Representation

Decimal	27966991
Binary	1101010101011111000001111 (25 bits)
Octal	0o152537017
Hexadecimal	0x1AABE0F

Divisor Catalog (16)

1 13 29 31 377 403 899 2,393 11,687 31,109 69,397 74,183 902,161 964,379 2,151,307 27,966,991

Collatz Trajectory (131 steps to reach 1)

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

27,966,991 83,900,974 41,950,487 125,851,462 62,925,731 188,777,194 94,388,597 283,165,792 141,582,896 70,791,448 35,395,724 17,697,862 8,848,931 26,546,794 13,273,397 39,820,192 19,910,096 9,955,048 4,977,524 2,488,762 1,244,381 3,733,144 1,866,572 933,286 466,643 1,399,930 699,965 2,099,896 1,049,948 524,974 262,487 787,462 393,731 1,181,194 590,597 1,771,792 885,896 442,948 221,474 110,737 332,212 166,106 83,053 249,160 124,580 62,290 31,145 93,436 46,718 23,359 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389

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