3,482,436

2² × 3 × 29 × 10007

3,482,436 has the prime decomposition 2^2 × 3 × 29 × 10007. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 10007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,406,720

Proper Divisor Sum 4,924,284

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3482411 ← → #3482443

Radix Representation

Decimal	3482436
Binary	1101010010001101000100 (22 bits)
Octal	0o15221504
Hexadecimal	0x352344

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 10,007 20,014 30,021 40,028 60,042 120,084 290,203 580,406 870,609 1,160,812 1,741,218 3,482,436

Collatz Trajectory (128 steps to reach 1)

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

3,482,436 1,741,218 870,609 2,611,828 1,305,914 652,957 1,958,872 979,436 489,718 244,859 734,578 367,289 1,101,868 550,934 275,467 826,402 413,201 1,239,604 619,802 309,901 929,704 464,852 232,426 116,213 348,640 174,320 87,160 43,580 21,790 10,895 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556

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