2³ × 3⁴ × 17 × 19²

Prime Factor Structure

Factorization String 2^3 × 3^4 × 17 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,447,270

Proper Divisor Sum 8,470,494

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3976733 ← → #3976783

Radix Representation

Decimal	3976776
Binary	1111001010111001001000 (22 bits)
Octal	0o17127110
Hexadecimal	0x3CAE48

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 306 323 324 342 361 408 456 459 513 612 646 648 684 722 918 969 1,026 1,083 1,224 1,292 1,368 1,377 1,444 1,539 1,836 1,938

Collatz Trajectory (66 steps to reach 1)

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

3,976,776 1,988,388 994,194 497,097 1,491,292 745,646 372,823 1,118,470 559,235 1,677,706 838,853 2,516,560 1,258,280 629,140 314,570 157,285 471,856 235,928 117,964 58,982 29,491 88,474 44,237 132,712 66,356 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #3,976,775 Browse Full Index Next Integer #3,976,777 →