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Atlas › Integer Profiles › Node 3,432,484

3,432,484

22 × 11 × 181 × 431
Deficient Even Composite

3,432,484 factors as 2^2 × 11 × 181 × 431. Its 24 positive divisors give a proper-divisor sum of 3,171,932, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 181 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,604,416
Proper Divisor Sum 3,171,932
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3432437 ← → #3432503

Radix Representation

Decimal 3432484
Binary 1101000110000000100100 (22 bits)
Octal 0o15060044
Hexadecimal 0x346024

Divisor Catalog (24)

1 2 4 11 22 44 181 362 431 724 862 1,724 1,991 3,982 4,741 7,964 9,482 18,964 78,011 156,022 312,044 858,121 1,716,242 3,432,484

Collatz Trajectory (115 steps to reach 1)

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

3,432,484 1,716,242 858,121 2,574,364 1,287,182 643,591 1,930,774 965,387 2,896,162 1,448,081 4,344,244 2,172,122 1,086,061 3,258,184 1,629,092 814,546 407,273 1,221,820 610,910 305,455 916,366 458,183 1,374,550 687,275 2,061,826 1,030,913 3,092,740 1,546,370 773,185 2,319,556 1,159,778 579,889 1,739,668 869,834 434,917 1,304,752 652,376 326,188 163,094 81,547 244,642 122,321 366,964 183,482 91,741 275,224 137,612 68,806 34,403 103,210 51,605 154,816 77,408 38,704 19,352 9,676 4,838 2,419 7,258 3,629

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