27,451,828

2² × 241 × 28477

27,451,828 factors as 2^2 × 241 × 28477. Its 12 positive divisors give a proper-divisor sum of 20,789,904, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 241 × 28477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,241,732

Proper Divisor Sum 20,789,904

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #27451799 ← → #27451829

Radix Representation

Decimal	27451828
Binary	1101000101110000110110100 (25 bits)
Octal	0o150560664
Hexadecimal	0x1A2E1B4

Divisor Catalog (12)

1 2 4 241 482 964 28,477 56,954 113,908 6,862,957 13,725,914 27,451,828

Collatz Trajectory (118 steps to reach 1)

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

27,451,828 13,725,914 6,862,957 20,588,872 10,294,436 5,147,218 2,573,609 7,720,828 3,860,414 1,930,207 5,790,622 2,895,311 8,685,934 4,342,967 13,028,902 6,514,451 19,543,354 9,771,677 29,315,032 14,657,516 7,328,758 3,664,379 10,993,138 5,496,569 16,489,708 8,244,854 4,122,427 12,367,282 6,183,641 18,550,924 9,275,462 4,637,731 13,913,194 6,956,597 20,869,792 10,434,896 5,217,448 2,608,724 1,304,362 652,181 1,956,544 978,272 489,136 244,568 122,284 61,142 30,571 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020

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