3,429,596

2² × 67² × 191

3,429,596 factors as 2^2 × 67^2 × 191. Its 18 positive divisors give a proper-divisor sum of 2,695,012, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 67^2 × 191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,124,608

Proper Divisor Sum 2,695,012

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3429593 ← → #3429617

Radix Representation

Decimal	3429596
Binary	1101000101010011011100 (22 bits)
Octal	0o15052334
Hexadecimal	0x3454DC

Divisor Catalog (18)

1 2 4 67 134 191 268 382 764 4,489 8,978 12,797 17,956 25,594 51,188 857,399 1,714,798 3,429,596

Collatz Trajectory (177 steps to reach 1)

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

3,429,596 1,714,798 857,399 2,572,198 1,286,099 3,858,298 1,929,149 5,787,448 2,893,724 1,446,862 723,431 2,170,294 1,085,147 3,255,442 1,627,721 4,883,164 2,441,582 1,220,791 3,662,374 1,831,187 5,493,562 2,746,781 8,240,344 4,120,172 2,060,086 1,030,043 3,090,130 1,545,065 4,635,196 2,317,598 1,158,799 3,476,398 1,738,199 5,214,598 2,607,299 7,821,898 3,910,949 11,732,848 5,866,424 2,933,212 1,466,606 733,303 2,199,910 1,099,955 3,299,866 1,649,933 4,949,800 2,474,900 1,237,450 618,725 1,856,176 928,088 464,044 232,022 116,011 348,034 174,017 522,052 261,026 130,513

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