λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,920,016

1,920,016

24 × 72 × 31 × 79
Abundant Even Composite

Starting at 1,920,016, the Collatz iteration reaches 1 after 70 steps. The first transition is 960008; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 31 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,523,520
Proper Divisor Sum 2,603,504
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1920013 ← → #1920043

Radix Representation

Decimal 1920016
Binary 111010100110000010000 (21 bits)
Octal 0o7246020
Hexadecimal 0x1D4C10

Divisor Catalog (60)

1 2 4 7 8 14 16 28 31 49 56 62 79 98 112 124 158 196 217 248 316 392 434 496 553 632 784 868 1,106 1,264 1,519 1,736 2,212 2,449 3,038 3,472 3,871 4,424 4,898 6,076 7,742 8,848 9,796 12,152 15,484 17,143 19,592 24,304 30,968 34,286 39,184 61,936 68,572 120,001 137,144 240,002 274,288 480,004 960,008 1,920,016

Collatz Trajectory (70 steps to reach 1)

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

1,920,016 960,008 480,004 240,002 120,001 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340

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