7,623,258

2 × 3 × 23 × 37 × 1493

7,623,258 factors as 2 × 3 × 23 × 37 × 1493. Its 32 positive divisors give a proper-divisor sum of 8,727,078, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 37 × 1493

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,350,336

Proper Divisor Sum 8,727,078

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7623257 ← → #7623269

Radix Representation

Decimal	7623258
Binary	11101000101001001011010 (23 bits)
Octal	0o35051132
Hexadecimal	0x74525A

Divisor Catalog (32)

1 2 3 6 23 37 46 69 74 111 138 222 851 1,493 1,702 2,553 2,986 4,479 5,106 8,958 34,339 55,241 68,678 103,017 110,482 165,723 206,034 331,446 1,270,543 2,541,086 3,811,629 7,623,258

Collatz Trajectory (54 steps to reach 1)

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

7,623,258 3,811,629 11,434,888 5,717,444 2,858,722 1,429,361 4,288,084 2,144,042 1,072,021 3,216,064 1,608,032 804,016 402,008 201,004 100,502 50,251 150,754 75,377 226,132 113,066 56,533 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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