2,948,738

2 × 13 × 23 × 4931

2,948,738 factors as 2 × 13 × 23 × 4931. Its 16 positive divisors give a proper-divisor sum of 2,022,718, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 4931

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,971,456

Proper Divisor Sum 2,022,718

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #2948723 ← → #2948747

Radix Representation

Decimal	2948738
Binary	1011001111111010000010 (22 bits)
Octal	0o13177202
Hexadecimal	0x2CFE82

Divisor Catalog (16)

1 2 13 23 26 46 299 598 4,931 9,862 64,103 113,413 128,206 226,826 1,474,369 2,948,738

Collatz Trajectory (257 steps to reach 1)

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

2,948,738 1,474,369 4,423,108 2,211,554 1,105,777 3,317,332 1,658,666 829,333 2,488,000 1,244,000 622,000 311,000 155,500 77,750 38,875 116,626 58,313 174,940 87,470 43,735 131,206 65,603 196,810 98,405 295,216 147,608 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264

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