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Atlas › Integer Profiles › Node 4,442,004

4,442,004

22 × 32 × 7 × 17627
Abundant Even Composite

4,442,004 factors as 2^2 × 3^2 × 7 × 17627. Its 36 positive divisors give a proper-divisor sum of 8,391,180, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,833,184
Proper Divisor Sum 8,391,180
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4442003 ← → #4442027

Radix Representation

Decimal 4442004
Binary 10000111100011110010100 (23 bits)
Octal 0o20743624
Hexadecimal 0x43C794

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 17,627 35,254 52,881 70,508 105,762 123,389 158,643 211,524 246,778 317,286 370,167 493,556 634,572 740,334 1,110,501 1,480,668 2,221,002 4,442,004

Collatz Trajectory (167 steps to reach 1)

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

4,442,004 2,221,002 1,110,501 3,331,504 1,665,752 832,876 416,438 208,219 624,658 312,329 936,988 468,494 234,247 702,742 351,371 1,054,114 527,057 1,581,172 790,586 395,293 1,185,880 592,940 296,470 148,235 444,706 222,353 667,060 333,530 166,765 500,296 250,148 125,074 62,537 187,612 93,806 46,903 140,710 70,355 211,066 105,533 316,600 158,300 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697

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