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Atlas › Integer Profiles › Node 7,650,340

7,650,340

22 × 5 × 17 × 22501
Abundant Even Composite

7,650,340 factors as 2^2 × 5 × 17 × 22501. Its 24 positive divisors give a proper-divisor sum of 9,361,172, so this integer is abundant. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 22501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,011,512
Proper Divisor Sum 9,361,172
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7650337 ← → #7650343

Radix Representation

Decimal 7650340
Binary 11101001011110000100100 (23 bits)
Octal 0o35136044
Hexadecimal 0x74BC24

Divisor Catalog (24)

1 2 4 5 10 17 20 34 68 85 170 340 22,501 45,002 90,004 112,505 225,010 382,517 450,020 765,034 1,530,068 1,912,585 3,825,170 7,650,340

Collatz Trajectory (279 steps to reach 1)

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

7,650,340 3,825,170 1,912,585 5,737,756 2,868,878 1,434,439 4,303,318 2,151,659 6,454,978 3,227,489 9,682,468 4,841,234 2,420,617 7,261,852 3,630,926 1,815,463 5,446,390 2,723,195 8,169,586 4,084,793 12,254,380 6,127,190 3,063,595 9,190,786 4,595,393 13,786,180 6,893,090 3,446,545 10,339,636 5,169,818 2,584,909 7,754,728 3,877,364 1,938,682 969,341 2,908,024 1,454,012 727,006 363,503 1,090,510 545,255 1,635,766 817,883 2,453,650 1,226,825 3,680,476 1,840,238 920,119 2,760,358 1,380,179 4,140,538 2,070,269 6,210,808 3,105,404 1,552,702 776,351 2,329,054 1,164,527 3,493,582 1,746,791

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