λ
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3,486,804

22 × 3 × 19 × 41 × 373
Abundant Even Composite

3,486,804 factors as 2^2 × 3 × 19 × 41 × 373. Its 48 positive divisors give a proper-divisor sum of 5,309,676, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 41 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,796,480
Proper Divisor Sum 5,309,676
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3486803 ← → #3486829

Radix Representation

Decimal 3486804
Binary 1101010011010001010100 (22 bits)
Octal 0o15232124
Hexadecimal 0x353454

Divisor Catalog (48)

1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 373 492 746 779 1,119 1,492 1,558 2,238 2,337 3,116 4,476 4,674 7,087 9,348 14,174 15,293 21,261 28,348 30,586 42,522 45,879 61,172 85,044 91,758 183,516 290,567 581,134 871,701 1,162,268 1,743,402 3,486,804

Collatz Trajectory (159 steps to reach 1)

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

3,486,804 1,743,402 871,701 2,615,104 1,307,552 653,776 326,888 163,444 81,722 40,861 122,584 61,292 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689

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