402,336

2⁵ × 3² × 11 × 127

For 402,336, the 72 positive divisors have a total of 1,257,984. Removing 402,336 leaves 855,648, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,257,984

Proper Divisor Sum 855,648

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #402331 ← → #402341

Radix Representation

Decimal	402336
Binary	1100010001110100000 (19 bits)
Octal	0o1421640
Hexadecimal	0x623A0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 127 132 144 176 198 254 264 288 352 381 396 508 528 762 792 1,016 1,056 1,143 1,397 1,524 1,584 2,032 2,286 2,794 3,048 3,168 4,064 4,191 4,572 5,588 6,096 8,382 9,144 11,176 12,192 12,573 16,764

Collatz Trajectory (112 steps to reach 1)

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

402,336 201,168 100,584 50,292 25,146 12,573 37,720 18,860 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427

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