λ
Sigma Notebook

4,477,467

3 × 311 × 4799
Deficient Odd Composite

4,477,467 is odd and not a perfect square. Its factorization is 3 × 311 × 4799 and its 8 divisors sum to 5,990,400.

Prime Factor Structure

Factorization String 3 × 311 × 4799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,990,400
Proper Divisor Sum 1,512,933
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4477463 ← → #4477471

Radix Representation

Decimal 4477467
Binary 10001000101001000011011 (23 bits)
Octal 0o21051033
Hexadecimal 0x44521B

Divisor Catalog (8)

1 3 311 933 4,799 14,397 1,492,489 4,477,467

Collatz Trajectory (193 steps to reach 1)

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

4,477,467 13,432,402 6,716,201 20,148,604 10,074,302 5,037,151 15,111,454 7,555,727 22,667,182 11,333,591 34,000,774 17,000,387 51,001,162 25,500,581 76,501,744 38,250,872 19,125,436 9,562,718 4,781,359 14,344,078 7,172,039 21,516,118 10,758,059 32,274,178 16,137,089 48,411,268 24,205,634 12,102,817 36,308,452 18,154,226 9,077,113 27,231,340 13,615,670 6,807,835 20,423,506 10,211,753 30,635,260 15,317,630 7,658,815 22,976,446 11,488,223 34,464,670 17,232,335 51,697,006 25,848,503 77,545,510 38,772,755 116,318,266 58,159,133 174,477,400 87,238,700 43,619,350 21,809,675 65,429,026 32,714,513 98,143,540 49,071,770 24,535,885 73,607,656 36,803,828

More profiles

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