4,134,956

2² × 7 × 59 × 2503

4,134,956 factors as 2^2 × 7 × 59 × 2503. Its 24 positive divisors give a proper-divisor sum of 4,278,484, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 59 × 2503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,413,440

Proper Divisor Sum 4,278,484

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4134937 ← → #4134971

Radix Representation

Decimal	4134956
Binary	1111110001100000101100 (22 bits)
Octal	0o17614054
Hexadecimal	0x3F182C

Divisor Catalog (24)

1 2 4 7 14 28 59 118 236 413 826 1,652 2,503 5,006 10,012 17,521 35,042 70,084 147,677 295,354 590,708 1,033,739 2,067,478 4,134,956

Collatz Trajectory (79 steps to reach 1)

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

4,134,956 2,067,478 1,033,739 3,101,218 1,550,609 4,651,828 2,325,914 1,162,957 3,488,872 1,744,436 872,218 436,109 1,308,328 654,164 327,082 163,541 490,624 245,312 122,656 61,328 30,664 15,332 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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