3,429,832

2³ × 7 × 73 × 839

For 3,429,832, the 32 positive divisors have a total of 7,459,200. Removing 3,429,832 leaves 4,029,368, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,459,200

Proper Divisor Sum 4,029,368

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3429821 ← → #3429857

Radix Representation

Decimal	3429832
Binary	1101000101010111001000 (22 bits)
Octal	0o15052710
Hexadecimal	0x3455C8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 584 839 1,022 1,678 2,044 3,356 4,088 5,873 6,712 11,746 23,492 46,984 61,247 122,494 244,988 428,729 489,976 857,458 1,714,916 3,429,832

Collatz Trajectory (76 steps to reach 1)

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

3,429,832 1,714,916 857,458 428,729 1,286,188 643,094 321,547 964,642 482,321 1,446,964 723,482 361,741 1,085,224 542,612 271,306 135,653 406,960 203,480 101,740 50,870 25,435 76,306 38,153 114,460 57,230 28,615 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626

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