787,072

2⁷ × 11 × 13 × 43

787,072 has the prime decomposition 2^7 × 11 × 13 × 43. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 11 × 13 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,884,960

Proper Divisor Sum 1,097,888

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #787069 ← → #787079

Radix Representation

Decimal	787072
Binary	11000000001010000000 (20 bits)
Octal	0o3001200
Hexadecimal	0xC0280

Divisor Catalog (60 of 64)

1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 128 143 172 176 208 286 344 352 416 473 559 572 688 704 832 946 1,118 1,144 1,376 1,408 1,664 1,892 2,236 2,288 2,752 3,784 4,472 4,576 5,504 6,149 7,568 8,944 9,152 12,298 15,136 17,888 18,304 24,596 30,272 35,776 49,192 60,544 71,552

Collatz Trajectory (162 steps to reach 1)

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

787,072 393,536 196,768 98,384 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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