λ
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4,184,410

2 × 5 × 29 × 47 × 307
Deficient Even Composite

4,184,410 factors as 2 × 5 × 29 × 47 × 307. Its 32 positive divisors give a proper-divisor sum of 3,798,950, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 47 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 3,798,950
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4184407 ← → #4184423

Radix Representation

Decimal 4184410
Binary 1111111101100101011010 (22 bits)
Octal 0o17754532
Hexadecimal 0x3FD95A

Divisor Catalog (32)

1 2 5 10 29 47 58 94 145 235 290 307 470 614 1,363 1,535 2,726 3,070 6,815 8,903 13,630 14,429 17,806 28,858 44,515 72,145 89,030 144,290 418,441 836,882 2,092,205 4,184,410

Collatz Trajectory (167 steps to reach 1)

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

4,184,410 2,092,205 6,276,616 3,138,308 1,569,154 784,577 2,353,732 1,176,866 588,433 1,765,300 882,650 441,325 1,323,976 661,988 330,994 165,497 496,492 248,246 124,123 372,370 186,185 558,556 279,278 139,639 418,918 209,459 628,378 314,189 942,568 471,284 235,642 117,821 353,464 176,732 88,366 44,183 132,550 66,275 198,826 99,413 298,240 149,120 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124

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