λ
Sigma Notebook

4,630,963

967 × 4789
Deficient Odd Composite

4,630,963 is odd and not a perfect square. Its factorization is 967 × 4789 and its 4 divisors sum to 4,636,720.

Prime Factor Structure

Factorization String 967 × 4789
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,636,720
Proper Divisor Sum 5,757
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4630961 ← → #4630979

Radix Representation

Decimal 4630963
Binary 10001101010100110110011 (23 bits)
Octal 0o21524663
Hexadecimal 0x46A9B3

Divisor Catalog (4)

1 967 4,789 4,630,963

Collatz Trajectory (74 steps to reach 1)

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

4,630,963 13,892,890 6,946,445 20,839,336 10,419,668 5,209,834 2,604,917 7,814,752 3,907,376 1,953,688 976,844 488,422 244,211 732,634 366,317 1,098,952 549,476 274,738 137,369 412,108 206,054 103,027 309,082 154,541 463,624 231,812 115,906 57,953 173,860 86,930 43,465 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136

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