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Atlas › Integer Profiles › Node 31,192,554

31,192,554

2 × 3 × 23 × 37 × 41 × 149
Abundant Even Composite

31,192,554 factors as 2 × 3 × 23 × 37 × 41 × 149. Its 64 positive divisors give a proper-divisor sum of 37,754,646, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 37 × 41 × 149
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 68,947,200
Proper Divisor Sum 37,754,646
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #31192549 ← → #31192559

Radix Representation

Decimal 31192554
Binary 1110110111111010111101010 (25 bits)
Octal 0o166772752
Hexadecimal 0x1DBF5EA

Divisor Catalog (60 of 64)

1 2 3 6 23 37 41 46 69 74 82 111 123 138 149 222 246 298 447 851 894 943 1,517 1,702 1,886 2,553 2,829 3,034 3,427 4,551 5,106 5,513 5,658 6,109 6,854 9,102 10,281 11,026 12,218 16,539 18,327 20,562 33,078 34,891 36,654 69,782 104,673 126,799 140,507 209,346 226,033 253,598 281,014 380,397 421,521 452,066 678,099 760,794 843,042 1,356,198

Collatz Trajectory (188 steps to reach 1)

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

31,192,554 15,596,277 46,788,832 23,394,416 11,697,208 5,848,604 2,924,302 1,462,151 4,386,454 2,193,227 6,579,682 3,289,841 9,869,524 4,934,762 2,467,381 7,402,144 3,701,072 1,850,536 925,268 462,634 231,317 693,952 346,976 173,488 86,744 43,372 21,686 10,843 32,530 16,265 48,796 24,398 12,199 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371 52,114 26,057 78,172 39,086 19,543 58,630 29,315 87,946 43,973 131,920 65,960 32,980

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