λ
Sigma Notebook

4,730,367

3 × 61 × 25849
Deficient Odd Composite

4,730,367 is odd and not a perfect square. Its factorization is 3 × 61 × 25849 and its 8 divisors sum to 6,410,800.

Prime Factor Structure

Factorization String 3 × 61 × 25849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,410,800
Proper Divisor Sum 1,680,433
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4730359 ← → #4730381

Radix Representation

Decimal 4730367
Binary 10010000010110111111111 (23 bits)
Octal 0o22026777
Hexadecimal 0x482DFF

Divisor Catalog (8)

1 3 61 183 25,849 77,547 1,576,789 4,730,367

Collatz Trajectory (149 steps to reach 1)

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

4,730,367 14,191,102 7,095,551 21,286,654 10,643,327 31,929,982 15,964,991 47,894,974 23,947,487 71,842,462 35,921,231 107,763,694 53,881,847 161,645,542 80,822,771 242,468,314 121,234,157 363,702,472 181,851,236 90,925,618 45,462,809 136,388,428 68,194,214 34,097,107 102,291,322 51,145,661 153,436,984 76,718,492 38,359,246 19,179,623 57,538,870 28,769,435 86,308,306 43,154,153 129,462,460 64,731,230 32,365,615 97,096,846 48,548,423 145,645,270 72,822,635 218,467,906 109,233,953 327,701,860 163,850,930 81,925,465 245,776,396 122,888,198 61,444,099 184,332,298 92,166,149 276,498,448 138,249,224 69,124,612 34,562,306 17,281,153 51,843,460 25,921,730 12,960,865 38,882,596

More profiles

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