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Atlas › Integer Profiles › Node 4,568,994

4,568,994

2 × 33 × 211 × 401
Abundant Even Composite

4,568,994 factors as 2 × 3^3 × 211 × 401. Its 32 positive divisors give a proper-divisor sum of 5,657,886, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 211 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,226,880
Proper Divisor Sum 5,657,886
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4568989 ← → #4569001

Radix Representation

Decimal 4568994
Binary 10001011011011110100010 (23 bits)
Octal 0o21333642
Hexadecimal 0x45B7A2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 211 401 422 633 802 1,203 1,266 1,899 2,406 3,609 3,798 5,697 7,218 10,827 11,394 21,654 84,611 169,222 253,833 507,666 761,499 1,522,998 2,284,497 4,568,994

Collatz Trajectory (180 steps to reach 1)

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

4,568,994 2,284,497 6,853,492 3,426,746 1,713,373 5,140,120 2,570,060 1,285,030 642,515 1,927,546 963,773 2,891,320 1,445,660 722,830 361,415 1,084,246 542,123 1,626,370 813,185 2,439,556 1,219,778 609,889 1,829,668 914,834 457,417 1,372,252 686,126 343,063 1,029,190 514,595 1,543,786 771,893 2,315,680 1,157,840 578,920 289,460 144,730 72,365 217,096 108,548 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984

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