3,202,992

2⁴ × 3² × 13 × 29 × 59

For 3,202,992, the 120 positive divisors have a total of 10,155,600. Removing 3,202,992 leaves 6,952,608, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 29 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 10,155,600

Proper Divisor Sum 6,952,608

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3202967 ← → #3202993

Radix Representation

Decimal	3202992
Binary	1100001101111110110000 (22 bits)
Octal	0o14157660
Hexadecimal	0x30DFB0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 59 72 78 87 104 116 117 118 144 156 174 177 208 232 234 236 261 312 348 354 377 464 468 472 522 531 624 696 708 754 767 936 944 1,044 1,062 1,131 1,392 1,416 1,508 1,534 1,711

Collatz Trajectory (120 steps to reach 1)

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

3,202,992 1,601,496 800,748 400,374 200,187 600,562 300,281 900,844 450,422 225,211 675,634 337,817 1,013,452 506,726 253,363 760,090 380,045 1,140,136 570,068 285,034 142,517 427,552 213,776 106,888 53,444 26,722 13,361 40,084 20,042 10,021 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400

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