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Atlas › Integer Profiles › Node 55,436,480

55,436,480

26 × 5 × 11 × 15749
Abundant Even Composite

55,436,480 factors as 2^6 × 5 × 11 × 15749. Its 56 positive divisors give a proper-divisor sum of 88,581,520, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 15749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 144,018,000
Proper Divisor Sum 88,581,520
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #55436477 ← → #55436489

Radix Representation

Decimal 55436480
Binary 11010011011110010011000000 (26 bits)
Octal 0o323362300
Hexadecimal 0x34DE4C0

Divisor Catalog (56)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1,760 3,520 15,749 31,498 62,996 78,745 125,992 157,490 173,239 251,984 314,980 346,478 503,968 629,960 692,956 866,195 1,007,936 1,259,920 1,385,912 1,732,390 2,519,840 2,771,824 3,464,780 5,039,680 5,543,648 6,929,560 11,087,296 13,859,120 27,718,240 55,436,480

Collatz Trajectory (150 steps to reach 1)

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

55,436,480 27,718,240 13,859,120 6,929,560 3,464,780 1,732,390 866,195 2,598,586 1,299,293 3,897,880 1,948,940 974,470 487,235 1,461,706 730,853 2,192,560 1,096,280 548,140 274,070 137,035 411,106 205,553 616,660 308,330 154,165 462,496 231,248 115,624 57,812 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274

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