λ
Sigma Notebook

3,414,681

32 × 31 × 12239
Deficient Odd Composite

3,414,681 is odd and not a perfect square. Its factorization is 3^2 × 31 × 12239 and its 12 divisors sum to 5,091,840.

Prime Factor Structure

Factorization String 3^2 × 31 × 12239
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,091,840
Proper Divisor Sum 1,677,159
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3414679 ← → #3414689

Radix Representation

Decimal 3414681
Binary 1101000001101010011001 (22 bits)
Octal 0o15015231
Hexadecimal 0x341A99

Divisor Catalog (12)

1 3 9 31 93 279 12,239 36,717 110,151 379,409 1,138,227 3,414,681

Collatz Trajectory (102 steps to reach 1)

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

3,414,681 10,244,044 5,122,022 2,561,011 7,683,034 3,841,517 11,524,552 5,762,276 2,881,138 1,440,569 4,321,708 2,160,854 1,080,427 3,241,282 1,620,641 4,861,924 2,430,962 1,215,481 3,646,444 1,823,222 911,611 2,734,834 1,367,417 4,102,252 2,051,126 1,025,563 3,076,690 1,538,345 4,615,036 2,307,518 1,153,759 3,461,278 1,730,639 5,191,918 2,595,959 7,787,878 3,893,939 11,681,818 5,840,909 17,522,728 8,761,364 4,380,682 2,190,341 6,571,024 3,285,512 1,642,756 821,378 410,689 1,232,068 616,034 308,017 924,052 462,026 231,013 693,040 346,520 173,260 86,630 43,315 129,946

More profiles

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