λ
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Atlas › Integer Profiles › Node 1,301,418

1,301,418

2 × 32 × 17 × 4253
Abundant Even Composite

1,301,418 factors as 2 × 3^2 × 17 × 4253. Its 24 positive divisors give a proper-divisor sum of 1,684,890, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 4253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,986,308
Proper Divisor Sum 1,684,890
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1301413 ← → #1301423

Radix Representation

Decimal 1301418
Binary 100111101101110101010 (21 bits)
Octal 0o4755652
Hexadecimal 0x13DBAA

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 4,253 8,506 12,759 25,518 38,277 72,301 76,554 144,602 216,903 433,806 650,709 1,301,418

Collatz Trajectory (93 steps to reach 1)

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

1,301,418 650,709 1,952,128 976,064 488,032 244,016 122,008 61,004 30,502 15,251 45,754 22,877 68,632 34,316 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384

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