Integer 772,575 Profile | Ratio Atlas

772,575

3 × 5² × 10301

Prime Factor Structure

Factorization String 3 × 5^2 × 10301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,277,448

Proper Divisor Sum 504,873

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #772573 ← → #772591

Radix Representation

Decimal	772575
Binary	10111100100111011111 (20 bits)
Octal	0o2744737
Hexadecimal	0xBC9DF

Divisor Catalog (12)

1 3 5 15 25 75 10,301 30,903 51,505 154,515 257,525 772,575

Collatz Trajectory (255 steps to reach 1)

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

772,575 2,317,726 1,158,863 3,476,590 1,738,295 5,214,886 2,607,443 7,822,330 3,911,165 11,733,496 5,866,748 2,933,374 1,466,687 4,400,062 2,200,031 6,600,094 3,300,047 9,900,142 4,950,071 14,850,214 7,425,107 22,275,322 11,137,661 33,412,984 16,706,492 8,353,246 4,176,623 12,529,870 6,264,935 18,794,806 9,397,403 28,192,210 14,096,105 42,288,316 21,144,158 10,572,079 31,716,238 15,858,119 47,574,358 23,787,179 71,361,538 35,680,769 107,042,308 53,521,154 26,760,577 80,281,732 40,140,866 20,070,433 60,211,300 30,105,650 15,052,825 45,158,476 22,579,238 11,289,619 33,868,858 16,934,429 50,803,288 25,401,644 12,700,822 6,350,411

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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