400,893

3 × 133631

400,893 factors as 3 × 133631. Its 4 positive divisors give a proper-divisor sum of 133,635, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3 × 133631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 534,528

Proper Divisor Sum 133,635

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #400871 ← → #400903

Radix Representation

Decimal	400893
Binary	1100001110111111101 (19 bits)
Octal	0o1416775
Hexadecimal	0x61DFD

Divisor Catalog (4)

1 3 133,631 400,893

Collatz Trajectory (143 steps to reach 1)

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

400,893 1,202,680 601,340 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210 428,105 1,284,316 642,158 321,079 963,238 481,619 1,444,858 722,429 2,167,288 1,083,644 541,822 270,911 812,734 406,367 1,219,102 609,551 1,828,654 914,327 2,742,982 1,371,491 4,114,474 2,057,237 6,171,712 3,085,856 1,542,928 771,464 385,732 192,866 96,433 289,300 144,650 72,325 216,976 108,488 54,244 27,122 13,561 40,684 20,342 10,171 30,514 15,257

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