7,793,344

2⁶ × 13 × 17 × 19 × 29

7,793,344 factors as 2^6 × 13 × 17 × 19 × 29. Its 112 positive divisors give a proper-divisor sum of 11,409,056, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 17 × 19 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 19,202,400

Proper Divisor Sum 11,409,056

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7793341 ← → #7793351

Radix Representation

Decimal	7793344
Binary	11101101110101011000000 (23 bits)
Octal	0o35565300
Hexadecimal	0x76EAC0

Divisor Catalog (60 of 112)

1 2 4 8 13 16 17 19 26 29 32 34 38 52 58 64 68 76 104 116 136 152 208 221 232 247 272 304 323 377 416 442 464 493 494 544 551 608 646 754 832 884 928 986 988 1,088 1,102 1,216 1,292 1,508 1,768 1,856 1,972 1,976 2,204 2,584 3,016 3,536 3,944 3,952

Collatz Trajectory (217 steps to reach 1)

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

7,793,344 3,896,672 1,948,336 974,168 487,084 243,542 121,771 365,314 182,657 547,972 273,986 136,993 410,980 205,490 102,745 308,236 154,118 77,059 231,178 115,589 346,768 173,384 86,692 43,346 21,673 65,020 32,510 16,255 48,766 24,383 73,150 36,575 109,726 54,863 164,590 82,295 246,886 123,443 370,330 185,165 555,496 277,748 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436

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