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Atlas › Integer Profiles › Node 5,346,894

5,346,894

2 × 3 × 7 × 61 × 2087
Abundant Even Composite

Starting at 5,346,894, the Collatz iteration reaches 1 after 118 steps. The first transition is 2673447; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 61 × 2087
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,427,776
Proper Divisor Sum 7,080,882
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5346883 ← → #5346899

Radix Representation

Decimal 5346894
Binary 10100011001011001001110 (23 bits)
Octal 0o24313116
Hexadecimal 0x51964E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 61 122 183 366 427 854 1,281 2,087 2,562 4,174 6,261 12,522 14,609 29,218 43,827 87,654 127,307 254,614 381,921 763,842 891,149 1,782,298 2,673,447 5,346,894

Collatz Trajectory (118 steps to reach 1)

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

5,346,894 2,673,447 8,020,342 4,010,171 12,030,514 6,015,257 18,045,772 9,022,886 4,511,443 13,534,330 6,767,165 20,301,496 10,150,748 5,075,374 2,537,687 7,613,062 3,806,531 11,419,594 5,709,797 17,129,392 8,564,696 4,282,348 2,141,174 1,070,587 3,211,762 1,605,881 4,817,644 2,408,822 1,204,411 3,613,234 1,806,617 5,419,852 2,709,926 1,354,963 4,064,890 2,032,445 6,097,336 3,048,668 1,524,334 762,167 2,286,502 1,143,251 3,429,754 1,714,877 5,144,632 2,572,316 1,286,158 643,079 1,929,238 964,619 2,893,858 1,446,929 4,340,788 2,170,394 1,085,197 3,255,592 1,627,796 813,898 406,949 1,220,848

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