50,007,807

3³ × 439 × 4219

50,007,807 factors as 3^3 × 439 × 4219. Its 16 positive divisors give a proper-divisor sum of 24,264,193, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3^3 × 439 × 4219

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,272,000

Proper Divisor Sum 24,264,193

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #50007781 ← → #50007817

Radix Representation

Decimal	50007807
Binary	10111110110000111011111111 (26 bits)
Octal	0o276607377
Hexadecimal	0x2FB0EFF

Divisor Catalog (16)

1 3 9 27 439 1,317 3,951 4,219 11,853 12,657 37,971 113,913 1,852,141 5,556,423 16,669,269 50,007,807

Collatz Trajectory (230 steps to reach 1)

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

50,007,807 150,023,422 75,011,711 225,035,134 112,517,567 337,552,702 168,776,351 506,329,054 253,164,527 759,493,582 379,746,791 1,139,240,374 569,620,187 1,708,860,562 854,430,281 2,563,290,844 1,281,645,422 640,822,711 1,922,468,134 961,234,067 2,883,702,202 1,441,851,101 4,325,553,304 2,162,776,652 1,081,388,326 540,694,163 1,622,082,490 811,041,245 2,433,123,736 1,216,561,868 608,280,934 304,140,467 912,421,402 456,210,701 1,368,632,104 684,316,052 342,158,026 171,079,013 513,237,040 256,618,520 128,309,260 64,154,630 32,077,315 96,231,946 48,115,973 144,347,920 72,173,960 36,086,980 18,043,490 9,021,745 27,065,236 13,532,618 6,766,309 20,298,928 10,149,464 5,074,732 2,537,366 1,268,683 3,806,050 1,903,025

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