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Atlas › Integer Profiles › Node 7,465,110

7,465,110

2 × 3 × 5 × 23 × 31 × 349
Abundant Even Composite

7,465,110 factors as 2 × 3 × 5 × 23 × 31 × 349. Its 64 positive divisors give a proper-divisor sum of 11,888,490, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 31 × 349
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,353,600
Proper Divisor Sum 11,888,490
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7465109 ← → #7465111

Radix Representation

Decimal 7465110
Binary 11100011110100010010110 (23 bits)
Octal 0o34364226
Hexadecimal 0x71E896

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 349 465 690 698 713 930 1,047 1,426 1,745 2,094 2,139 3,490 3,565 4,278 5,235 7,130 8,027 10,470 10,695 10,819 16,054 21,390 21,638 24,081 32,457 40,135 48,162 54,095 64,914 80,270 108,190 120,405 162,285 240,810 248,837 324,570 497,674 746,511 1,244,185

Collatz Trajectory (173 steps to reach 1)

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

7,465,110 3,732,555 11,197,666 5,598,833 16,796,500 8,398,250 4,199,125 12,597,376 6,298,688 3,149,344 1,574,672 787,336 393,668 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360 27,680 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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