λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,625,720
7,625,720
23 × 5 × 311 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 311 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,241,120
Proper Divisor Sum 9,615,400
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7625701 ← → #7625729

Radix Representation

Decimal 7625720
Binary 11101000101101111111000 (23 bits)
Octal 0o35055770
Hexadecimal 0x745BF8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 311 613 622 1,226 1,244 1,555 2,452 2,488 3,065 3,110 4,904 6,130 6,220 12,260 12,440 24,520 190,643 381,286 762,572 953,215 1,525,144 1,906,430 3,812,860 7,625,720

Collatz Trajectory (217 steps to reach 1)

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

7,625,720 3,812,860 1,906,430 953,215 2,859,646 1,429,823 4,289,470 2,144,735 6,434,206 3,217,103 9,651,310 4,825,655 14,476,966 7,238,483 21,715,450 10,857,725 32,573,176 16,286,588 8,143,294 4,071,647 12,214,942 6,107,471 18,322,414 9,161,207 27,483,622 13,741,811 41,225,434 20,612,717 61,838,152 30,919,076 15,459,538 7,729,769 23,189,308 11,594,654 5,797,327 17,391,982 8,695,991 26,087,974 13,043,987 39,131,962 19,565,981 58,697,944 29,348,972 14,674,486 7,337,243 22,011,730 11,005,865 33,017,596 16,508,798 8,254,399 24,763,198 12,381,599 37,144,798 18,572,399 55,717,198 27,858,599 83,575,798 41,787,899 125,363,698 62,681,849

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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