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Atlas › Integer Profiles › Node 7,464,340

7,464,340

22 × 5 × 13 × 19 × 1511
Abundant Even Composite

7,464,340 factors as 2^2 × 5 × 13 × 19 × 1511. Its 48 positive divisors give a proper-divisor sum of 10,316,780, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 19 × 1511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,781,120
Proper Divisor Sum 10,316,780
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7464329 ← → #7464371

Radix Representation

Decimal 7464340
Binary 11100011110010110010100 (23 bits)
Octal 0o34362624
Hexadecimal 0x71E594

Divisor Catalog (48)

1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1,235 1,511 2,470 3,022 4,940 6,044 7,555 15,110 19,643 28,709 30,220 39,286 57,418 78,572 98,215 114,836 143,545 196,430 287,090 373,217 392,860 574,180 746,434 1,492,868 1,866,085 3,732,170 7,464,340

Collatz Trajectory (160 steps to reach 1)

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

7,464,340 3,732,170 1,866,085 5,598,256 2,799,128 1,399,564 699,782 349,891 1,049,674 524,837 1,574,512 787,256 393,628 196,814 98,407 295,222 147,611 442,834 221,417 664,252 332,126 166,063 498,190 249,095 747,286 373,643 1,120,930 560,465 1,681,396 840,698 420,349 1,261,048 630,524 315,262 157,631 472,894 236,447 709,342 354,671 1,064,014 532,007 1,596,022 798,011 2,394,034 1,197,017 3,591,052 1,795,526 897,763 2,693,290 1,346,645 4,039,936 2,019,968 1,009,984 504,992 252,496 126,248 63,124 31,562 15,781 47,344

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