λ
Ratio Atlas

1,277,646

2 × 3 × 73 × 2917
Abundant Even Composite

1,277,646 factors as 2 × 3 × 73 × 2917. Its 16 positive divisors give a proper-divisor sum of 1,313,538, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,591,184
Proper Divisor Sum 1,313,538
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1277629 ← → #1277651

Radix Representation

Decimal 1277646
Binary 100110111111011001110 (21 bits)
Octal 0o4677316
Hexadecimal 0x137ECE

Divisor Catalog (16)

1 2 3 6 73 146 219 438 2,917 5,834 8,751 17,502 212,941 425,882 638,823 1,277,646

Collatz Trajectory (124 steps to reach 1)

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

1,277,646 638,823 1,916,470 958,235 2,874,706 1,437,353 4,312,060 2,156,030 1,078,015 3,234,046 1,617,023 4,851,070 2,425,535 7,276,606 3,638,303 10,914,910 5,457,455 16,372,366 8,186,183 24,558,550 12,279,275 36,837,826 18,418,913 55,256,740 27,628,370 13,814,185 41,442,556 20,721,278 10,360,639 31,081,918 15,540,959 46,622,878 23,311,439 69,934,318 34,967,159 104,901,478 52,450,739 157,352,218 78,676,109 236,028,328 118,014,164 59,007,082 29,503,541 88,510,624 44,255,312 22,127,656 11,063,828 5,531,914 2,765,957 8,297,872 4,148,936 2,074,468 1,037,234 518,617 1,555,852 777,926 388,963 1,166,890 583,445 1,750,336

More profiles

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