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Atlas › Integer Profiles › Node 4,458,740

4,458,740

22 × 5 × 11 × 13 × 1559
Abundant Even Composite

4,458,740 factors as 2^2 × 5 × 11 × 13 × 1559. Its 48 positive divisors give a proper-divisor sum of 6,548,620, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 13 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,007,360
Proper Divisor Sum 6,548,620
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4458739 ← → #4458793

Radix Representation

Decimal 4458740
Binary 10001000000100011110100 (23 bits)
Octal 0o21004364
Hexadecimal 0x4408F4

Divisor Catalog (48)

1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1,430 1,559 2,860 3,118 6,236 7,795 15,590 17,149 20,267 31,180 34,298 40,534 68,596 81,068 85,745 101,335 171,490 202,670 222,937 342,980 405,340 445,874 891,748 1,114,685 2,229,370 4,458,740

Collatz Trajectory (211 steps to reach 1)

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

4,458,740 2,229,370 1,114,685 3,344,056 1,672,028 836,014 418,007 1,254,022 627,011 1,881,034 940,517 2,821,552 1,410,776 705,388 352,694 176,347 529,042 264,521 793,564 396,782 198,391 595,174 297,587 892,762 446,381 1,339,144 669,572 334,786 167,393 502,180 251,090 125,545 376,636 188,318 94,159 282,478 141,239 423,718 211,859 635,578 317,789 953,368 476,684 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282

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