401,336

2³ × 13 × 17 × 227

For 401,336, the 32 positive divisors have a total of 861,840. Removing 401,336 leaves 460,504, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 861,840

Proper Divisor Sum 460,504

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #401329 ← → #401341

Radix Representation

Decimal	401336
Binary	1100001111110111000 (19 bits)
Octal	0o1417670
Hexadecimal	0x61FB8

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 227 442 454 884 908 1,768 1,816 2,951 3,859 5,902 7,718 11,804 15,436 23,608 30,872 50,167 100,334 200,668 401,336

Collatz Trajectory (117 steps to reach 1)

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

401,336 200,668 100,334 50,167 150,502 75,251 225,754 112,877 338,632 169,316 84,658 42,329 126,988 63,494 31,747 95,242 47,621 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425

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