408,115

5 × 31 × 2633

408,115 factors as 5 × 31 × 2633. Its 8 positive divisors give a proper-divisor sum of 97,613, so this integer is deficient. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 5 × 31 × 2633

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 505,728

Proper Divisor Sum 97,613

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #408091 ← → #408127

Radix Representation

Decimal	408115
Binary	1100011101000110011 (19 bits)
Octal	0o1435063
Hexadecimal	0x63A33

Divisor Catalog (8)

1 5 31 155 2,633 13,165 81,623 408,115

Collatz Trajectory (174 steps to reach 1)

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

408,115 1,224,346 612,173 1,836,520 918,260 459,130 229,565 688,696 344,348 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063 3,534,190 1,767,095 5,301,286 2,650,643 7,951,930 3,975,965 11,927,896 5,963,948 2,981,974 1,490,987 4,472,962 2,236,481 6,709,444 3,354,722

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