3,382,180

2² × 5 × 263 × 643

3,382,180 has digital root 7. The neighboring primes are 3382177 and 3382189; its proper-divisor sum differs from the starting integer by 376,312.

Prime Factor Structure

Factorization String 2^2 × 5 × 263 × 643

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,140,672

Proper Divisor Sum 3,758,492

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3382177 ← → #3382189

Radix Representation

Decimal	3382180
Binary	1100111001101110100100 (22 bits)
Octal	0o14715644
Hexadecimal	0x339BA4

Divisor Catalog (24)

1 2 4 5 10 20 263 526 643 1,052 1,286 1,315 2,572 2,630 3,215 5,260 6,430 12,860 169,109 338,218 676,436 845,545 1,691,090 3,382,180

Collatz Trajectory (314 steps to reach 1)

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

3,382,180 1,691,090 845,545 2,536,636 1,268,318 634,159 1,902,478 951,239 2,853,718 1,426,859 4,280,578 2,140,289 6,420,868 3,210,434 1,605,217 4,815,652 2,407,826 1,203,913 3,611,740 1,805,870 902,935 2,708,806 1,354,403 4,063,210 2,031,605 6,094,816 3,047,408 1,523,704 761,852 380,926 190,463 571,390 285,695 857,086 428,543 1,285,630 642,815 1,928,446 964,223 2,892,670 1,446,335 4,339,006 2,169,503 6,508,510 3,254,255 9,762,766 4,881,383 14,644,150 7,322,075 21,966,226 10,983,113 32,949,340 16,474,670 8,237,335 24,712,006 12,356,003 37,068,010 18,534,005 55,602,016 27,801,008

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