7,340,907

3 × 7 × 349567

7,340,907 factors as 3 × 7 × 349567. Its 8 positive divisors give a proper-divisor sum of 3,845,269, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3 × 7 × 349567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,186,176

Proper Divisor Sum 3,845,269

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7340899 ← → #7340929

Radix Representation

Decimal	7340907
Binary	11100000000001101101011 (23 bits)
Octal	0o34001553
Hexadecimal	0x70036B

Divisor Catalog (8)

1 3 7 21 349,567 1,048,701 2,446,969 7,340,907

Collatz Trajectory (111 steps to reach 1)

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

7,340,907 22,022,722 11,011,361 33,034,084 16,517,042 8,258,521 24,775,564 12,387,782 6,193,891 18,581,674 9,290,837 27,872,512 13,936,256 6,968,128 3,484,064 1,742,032 871,016 435,508 217,754 108,877 326,632 163,316 81,658 40,829 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774

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