λ
Sigma Notebook

1,276,704

25 × 32 × 11 × 13 × 31
Abundant Even Composite

1,276,704 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 11 × 13 × 31 and its 144 divisors sum to 4,402,944.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 13 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 4,402,944
Proper Divisor Sum 3,126,240
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1276687 ← → #1276711

Radix Representation

Decimal 1276704
Binary 100110111101100100000 (21 bits)
Octal 0o4675440
Hexadecimal 0x137B20

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 31 32 33 36 39 44 48 52 62 66 72 78 88 93 96 99 104 117 124 132 143 144 156 176 186 198 208 234 248 264 279 286 288 312 341 352 372 396 403 416 429 468 496 528 558

Collatz Trajectory (98 steps to reach 1)

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

1,276,704 638,352 319,176 159,588 79,794 39,897 119,692 59,846 29,923 89,770 44,885 134,656 67,328 33,664 16,832 8,416 4,208 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

More profiles

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