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Atlas › Integer Profiles › Node 4,790,481

4,790,481

3 × 17 × 29 × 41 × 79
Deficient Odd Composite

4,790,481 factors as 3 × 17 × 29 × 41 × 79. Its 32 positive divisors give a proper-divisor sum of 2,467,119, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 17 × 29 × 41 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,257,600
Proper Divisor Sum 2,467,119
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4790473 ← → #4790483

Radix Representation

Decimal 4790481
Binary 10010010001100011010001 (23 bits)
Octal 0o22214321
Hexadecimal 0x4918D1

Divisor Catalog (32)

1 3 17 29 41 51 79 87 123 237 493 697 1,189 1,343 1,479 2,091 2,291 3,239 3,567 4,029 6,873 9,717 20,213 38,947 55,063 60,639 93,931 116,841 165,189 281,793 1,596,827 4,790,481

Collatz Trajectory (131 steps to reach 1)

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

4,790,481 14,371,444 7,185,722 3,592,861 10,778,584 5,389,292 2,694,646 1,347,323 4,041,970 2,020,985 6,062,956 3,031,478 1,515,739 4,547,218 2,273,609 6,820,828 3,410,414 1,705,207 5,115,622 2,557,811 7,673,434 3,836,717 11,510,152 5,755,076 2,877,538 1,438,769 4,316,308 2,158,154 1,079,077 3,237,232 1,618,616 809,308 404,654 202,327 606,982 303,491 910,474 455,237 1,365,712 682,856 341,428 170,714 85,357 256,072 128,036 64,018 32,009 96,028 48,014 24,007 72,022 36,011 108,034 54,017 162,052 81,026 40,513 121,540 60,770 30,385

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