2³ × 3³ × 7 × 19 × 1409

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 19 × 1409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 135,360,000

Proper Divisor Sum 94,882,248

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #40477721 ← → #40477777

Radix Representation

Decimal	40477752
Binary	10011010011010010000111000 (26 bits)
Octal	0o232322070
Hexadecimal	0x269A438

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1,026 1,064 1,197 1,368 1,409 1,512 1,596 2,052 2,394 2,818 3,192 3,591

Collatz Trajectory (160 steps to reach 1)

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

40,477,752 20,238,876 10,119,438 5,059,719 15,179,158 7,589,579 22,768,738 11,384,369 34,153,108 17,076,554 8,538,277 25,614,832 12,807,416 6,403,708 3,201,854 1,600,927 4,802,782 2,401,391 7,204,174 3,602,087 10,806,262 5,403,131 16,209,394 8,104,697 24,314,092 12,157,046 6,078,523 18,235,570 9,117,785 27,353,356 13,676,678 6,838,339 20,515,018 10,257,509 30,772,528 15,386,264 7,693,132 3,846,566 1,923,283 5,769,850 2,884,925 8,654,776 4,327,388 2,163,694 1,081,847 3,245,542 1,622,771 4,868,314 2,434,157 7,302,472 3,651,236 1,825,618 912,809 2,738,428 1,369,214 684,607 2,053,822 1,026,911 3,080,734 1,540,367

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #40,477,751 Browse Full Index Next Integer #40,477,753 →