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Atlas › Integer Profiles › Node 4,874,835

4,874,835

3 × 5 × 7 × 17 × 2731
Deficient Odd Composite

4,874,835 factors as 3 × 5 × 7 × 17 × 2731. Its 32 positive divisors give a proper-divisor sum of 4,566,957, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 2731
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,441,792
Proper Divisor Sum 4,566,957
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4874803 ← → #4874851

Radix Representation

Decimal 4874835
Binary 10010100110001001010011 (23 bits)
Octal 0o22461123
Hexadecimal 0x4A6253

Divisor Catalog (32)

1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1,785 2,731 8,193 13,655 19,117 40,965 46,427 57,351 95,585 139,281 232,135 286,755 324,989 696,405 974,967 1,624,945 4,874,835

Collatz Trajectory (149 steps to reach 1)

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

4,874,835 14,624,506 7,312,253 21,936,760 10,968,380 5,484,190 2,742,095 8,226,286 4,113,143 12,339,430 6,169,715 18,509,146 9,254,573 27,763,720 13,881,860 6,940,930 3,470,465 10,411,396 5,205,698 2,602,849 7,808,548 3,904,274 1,952,137 5,856,412 2,928,206 1,464,103 4,392,310 2,196,155 6,588,466 3,294,233 9,882,700 4,941,350 2,470,675 7,412,026 3,706,013 11,118,040 5,559,020 2,779,510 1,389,755 4,169,266 2,084,633 6,253,900 3,126,950 1,563,475 4,690,426 2,345,213 7,035,640 3,517,820 1,758,910 879,455 2,638,366 1,319,183 3,957,550 1,978,775 5,936,326 2,968,163 8,904,490 4,452,245 13,356,736 6,678,368

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