4,005,960

2³ × 3 × 5 × 7 × 19 × 251

Starting at 4,005,960, the Collatz iteration reaches 1 after 335 steps. The first transition is 2002980; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 19 × 251

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,515,200

Proper Divisor Sum 10,509,240

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4005959 ← → #4005971

Radix Representation

Decimal	4005960
Binary	1111010010000001001000 (22 bits)
Octal	0o17220110
Hexadecimal	0x3D2048

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 251 266 280 285 380 399 420 456 502 532 570 665 753 760 798 840 1,004 1,064 1,140 1,255 1,330

Collatz Trajectory (335 steps to reach 1)

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

4,005,960 2,002,980 1,001,490 500,745 1,502,236 751,118 375,559 1,126,678 563,339 1,690,018 845,009 2,535,028 1,267,514 633,757 1,901,272 950,636 475,318 237,659 712,978 356,489 1,069,468 534,734 267,367 802,102 401,051 1,203,154 601,577 1,804,732 902,366 451,183 1,353,550 676,775 2,030,326 1,015,163 3,045,490 1,522,745 4,568,236 2,284,118 1,142,059 3,426,178 1,713,089 5,139,268 2,569,634 1,284,817 3,854,452 1,927,226 963,613 2,890,840 1,445,420 722,710 361,355 1,084,066 542,033 1,626,100 813,050 406,525 1,219,576 609,788 304,894 152,447

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