7,937,260

2² × 5 × 107 × 3709

7,937,260 factors as 2^2 × 5 × 107 × 3709. Its 24 positive divisors give a proper-divisor sum of 8,891,300, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 107 × 3709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,828,560

Proper Divisor Sum 8,891,300

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7937243 ← → #7937261

Radix Representation

Decimal	7937260
Binary	11110010001110011101100 (23 bits)
Octal	0o36216354
Hexadecimal	0x791CEC

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

7,937,260 3,968,630 1,984,315 5,952,946 2,976,473 8,929,420 4,464,710 2,232,355 6,697,066 3,348,533 10,045,600 5,022,800 2,511,400 1,255,700 627,850 313,925 941,776 470,888 235,444 117,722 58,861 176,584 88,292 44,146 22,073 66,220 33,110 16,555 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402

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