λ
Sigma Notebook

2,401,012

22 × 172 × 31 × 67
Deficient Even Composite

2,401,012 is even and not a perfect square. Its factorization is 2^2 × 17^2 × 31 × 67 and its 36 divisors sum to 4,676,224.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 31 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,676,224
Proper Divisor Sum 2,275,212
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #2400989 ← → #2401013

Radix Representation

Decimal 2401012
Binary 1001001010001011110100 (22 bits)
Octal 0o11121364
Hexadecimal 0x24A2F4

Divisor Catalog (36)

1 2 4 17 31 34 62 67 68 124 134 268 289 527 578 1,054 1,139 1,156 2,077 2,108 2,278 4,154 4,556 8,308 8,959 17,918 19,363 35,309 35,836 38,726 70,618 77,452 141,236 600,253 1,200,506 2,401,012

Collatz Trajectory (117 steps to reach 1)

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

2,401,012 1,200,506 600,253 1,800,760 900,380 450,190 225,095 675,286 337,643 1,012,930 506,465 1,519,396 759,698 379,849 1,139,548 569,774 284,887 854,662 427,331 1,281,994 640,997 1,922,992 961,496 480,748 240,374 120,187 360,562 180,281 540,844 270,422 135,211 405,634 202,817 608,452 304,226 152,113 456,340 228,170 114,085 342,256 171,128 85,564 42,782 21,391 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230

More profiles

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