Integer 24,972,792 Profile | Ratio Atlas

24,972,792

2³ × 3 × 13² × 47 × 131

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 47 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 69,569,280

Proper Divisor Sum 44,596,488

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #24972737 ← → #24972793

Radix Representation

Decimal	24972792
Binary	1011111010000110111111000 (25 bits)
Octal	0o137206770
Hexadecimal	0x17D0DF8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 131 141 156 169 188 262 282 312 338 376 393 507 524 564 611 676 786 1,014 1,048 1,128 1,222 1,352 1,572 1,703 1,833 2,028 2,444 3,144 3,406 3,666 4,056 4,888 5,109 6,157 6,812 7,332 7,943 10,218 12,314 13,624 14,664 15,886 18,471 20,436

Collatz Trajectory (185 steps to reach 1)

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

24,972,792 12,486,396 6,243,198 3,121,599 9,364,798 4,682,399 14,047,198 7,023,599 21,070,798 10,535,399 31,606,198 15,803,099 47,409,298 23,704,649 71,113,948 35,556,974 17,778,487 53,335,462 26,667,731 80,003,194 40,001,597 120,004,792 60,002,396 30,001,198 15,000,599 45,001,798 22,500,899 67,502,698 33,751,349 101,254,048 50,627,024 25,313,512 12,656,756 6,328,378 3,164,189 9,492,568 4,746,284 2,373,142 1,186,571 3,559,714 1,779,857 5,339,572 2,669,786 1,334,893 4,004,680 2,002,340 1,001,170 500,585 1,501,756 750,878 375,439 1,126,318 563,159 1,689,478 844,739 2,534,218 1,267,109 3,801,328 1,900,664 950,332

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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