λ
Match Zalai

401,659

17 × 23627
Deficient Odd Composite

401,659 factors as 17 × 23627. Its 4 positive divisors give a proper-divisor sum of 23,645, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 17 × 23627
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 425,304
Proper Divisor Sum 23,645
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #401651 ← → #401669

Radix Representation

Decimal 401659
Binary 1100010000011111011 (19 bits)
Octal 0o1420373
Hexadecimal 0x620FB

Divisor Catalog (4)

1 17 23,627 401,659

Collatz Trajectory (91 steps to reach 1)

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

401,659 1,204,978 602,489 1,807,468 903,734 451,867 1,355,602 677,801 2,033,404 1,016,702 508,351 1,525,054 762,527 2,287,582 1,143,791 3,431,374 1,715,687 5,147,062 2,573,531 7,720,594 3,860,297 11,580,892 5,790,446 2,895,223 8,685,670 4,342,835 13,028,506 6,514,253 19,542,760 9,771,380 4,885,690 2,442,845 7,328,536 3,664,268 1,832,134 916,067 2,748,202 1,374,101 4,122,304 2,061,152 1,030,576 515,288 257,644 128,822 64,411 193,234 96,617 289,852 144,926 72,463 217,390 108,695 326,086 163,043 489,130 244,565 733,696 366,848 183,424 91,712

More profiles

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