3,374,072

2³ × 13 × 32443

3,374,072 factors as 2^3 × 13 × 32443. Its 16 positive divisors give a proper-divisor sum of 3,439,168, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 32443

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,813,240

Proper Divisor Sum 3,439,168

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3374069 ← → #3374089

Radix Representation

Decimal	3374072
Binary	1100110111101111111000 (22 bits)
Octal	0o14675770
Hexadecimal	0x337BF8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 32,443 64,886 129,772 259,544 421,759 843,518 1,687,036 3,374,072

Collatz Trajectory (252 steps to reach 1)

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

3,374,072 1,687,036 843,518 421,759 1,265,278 632,639 1,897,918 948,959 2,846,878 1,423,439 4,270,318 2,135,159 6,405,478 3,202,739 9,608,218 4,804,109 14,412,328 7,206,164 3,603,082 1,801,541 5,404,624 2,702,312 1,351,156 675,578 337,789 1,013,368 506,684 253,342 126,671 380,014 190,007 570,022 285,011 855,034 427,517 1,282,552 641,276 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402

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