2⁵ × 3³ × 29 × 43

Prime Factor Structure

Factorization String 2^5 × 3^3 × 29 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,326,400

Proper Divisor Sum 2,248,992

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1077397 ← → #1077413

Radix Representation

Decimal	1077408
Binary	100000111000010100000 (21 bits)
Octal	0o4070240
Hexadecimal	0x1070A0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 43 48 54 58 72 86 87 96 108 116 129 144 172 174 216 232 258 261 288 344 348 387 432 464 516 522 688 696 774 783 864 928 1,032 1,044 1,161 1,247 1,376 1,392 1,548 1,566 2,064 2,088 2,322 2,494 2,784

Collatz Trajectory (165 steps to reach 1)

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

1,077,408 538,704 269,352 134,676 67,338 33,669 101,008 50,504 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #1,077,407 Browse Full Index Next Integer #1,077,409 →