6,429,720

2³ × 3 × 5 × 11 × 4871

Starting at 6,429,720, the Collatz iteration reaches 1 after 147 steps. The first transition is 3214860; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 4871

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,047,040

Proper Divisor Sum 14,617,320

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6429707 ← → #6429727

Radix Representation

Decimal	6429720
Binary	11000100001110000011000 (23 bits)
Octal	0o30416030
Hexadecimal	0x621C18

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 4,871 9,742 14,613 19,484 24,355 29,226 38,968 48,710 53,581 58,452 73,065 97,420 107,162 116,904 146,130 160,743 194,840 214,324 267,905 292,260 321,486 428,648 535,810 584,520 642,972 803,715 1,071,620 1,285,944

Collatz Trajectory (147 steps to reach 1)

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

6,429,720 3,214,860 1,607,430 803,715 2,411,146 1,205,573 3,616,720 1,808,360 904,180 452,090 226,045 678,136 339,068 169,534 84,767 254,302 127,151 381,454 190,727 572,182 286,091 858,274 429,137 1,287,412 643,706 321,853 965,560 482,780 241,390 120,695 362,086 181,043 543,130 271,565 814,696 407,348 203,674 101,837 305,512 152,756 76,378 38,189 114,568 57,284 28,642 14,321 42,964 21,482 10,741 32,224 16,112 8,056 4,028 2,014 1,007 3,022 1,511 4,534 2,267 6,802

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