λ
Sequence Observatory

1,716,840

23 × 32 × 5 × 19 × 251
Abundant Even Composite

Starting at 1,716,840, the Collatz iteration reaches 1 after 145 steps. The first transition is 858420; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 19 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 5,896,800
Proper Divisor Sum 4,179,960
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1716839 ← → #1716853

Radix Representation

Decimal 1716840
Binary 110100011001001101000 (21 bits)
Octal 0o6431150
Hexadecimal 0x1A3268

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 251 285 342 360 380 456 502 570 684 753 760 855 1,004 1,140 1,255 1,368 1,506 1,710 2,008 2,259 2,280 2,510 3,012 3,420 3,765 4,518 4,769

Collatz Trajectory (145 steps to reach 1)

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

1,716,840 858,420 429,210 214,605 643,816 321,908 160,954 80,477 241,432 120,716 60,358 30,179 90,538 45,269 135,808 67,904 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310

More profiles

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