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Atlas › Integer Profiles › Node 7,640,910

7,640,910

2 × 32 × 5 × 73 × 1163
Abundant Even Composite

7,640,910 factors as 2 × 3^2 × 5 × 73 × 1163. Its 48 positive divisors give a proper-divisor sum of 12,514,914, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 73 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,155,824
Proper Divisor Sum 12,514,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7640909 ← → #7640929

Radix Representation

Decimal 7640910
Binary 11101001001011101001110 (23 bits)
Octal 0o35113516
Hexadecimal 0x74974E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1,095 1,163 1,314 2,190 2,326 3,285 3,489 5,815 6,570 6,978 10,467 11,630 17,445 20,934 34,890 52,335 84,899 104,670 169,798 254,697 424,495 509,394 764,091 848,990 1,273,485 1,528,182 2,546,970 3,820,455 7,640,910

Collatz Trajectory (173 steps to reach 1)

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

7,640,910 3,820,455 11,461,366 5,730,683 17,192,050 8,596,025 25,788,076 12,894,038 6,447,019 19,341,058 9,670,529 29,011,588 14,505,794 7,252,897 21,758,692 10,879,346 5,439,673 16,319,020 8,159,510 4,079,755 12,239,266 6,119,633 18,358,900 9,179,450 4,589,725 13,769,176 6,884,588 3,442,294 1,721,147 5,163,442 2,581,721 7,745,164 3,872,582 1,936,291 5,808,874 2,904,437 8,713,312 4,356,656 2,178,328 1,089,164 544,582 272,291 816,874 408,437 1,225,312 612,656 306,328 153,164 76,582 38,291 114,874 57,437 172,312 86,156 43,078 21,539 64,618 32,309 96,928 48,464

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