λ
Ratio Atlas

4,731,531

3 × 7 × 233 × 967
Deficient Odd Composite

4,731,531 factors as 3 × 7 × 233 × 967. Its 16 positive divisors give a proper-divisor sum of 2,516,853, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 7 × 233 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,248,384
Proper Divisor Sum 2,516,853
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4731527 ← → #4731539

Radix Representation

Decimal 4731531
Binary 10010000011001010001011 (23 bits)
Octal 0o22031213
Hexadecimal 0x48328B

Divisor Catalog (16)

1 3 7 21 233 699 967 1,631 2,901 4,893 6,769 20,307 225,311 675,933 1,577,177 4,731,531

Collatz Trajectory (131 steps to reach 1)

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

4,731,531 14,194,594 7,097,297 21,291,892 10,645,946 5,322,973 15,968,920 7,984,460 3,992,230 1,996,115 5,988,346 2,994,173 8,982,520 4,491,260 2,245,630 1,122,815 3,368,446 1,684,223 5,052,670 2,526,335 7,579,006 3,789,503 11,368,510 5,684,255 17,052,766 8,526,383 25,579,150 12,789,575 38,368,726 19,184,363 57,553,090 28,776,545 86,329,636 43,164,818 21,582,409 64,747,228 32,373,614 16,186,807 48,560,422 24,280,211 72,840,634 36,420,317 109,260,952 54,630,476 27,315,238 13,657,619 40,972,858 20,486,429 61,459,288 30,729,644 15,364,822 7,682,411 23,047,234 11,523,617 34,570,852 17,285,426 8,642,713 25,928,140 12,964,070 6,482,035

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