6,952,124

2² × 41 × 42391

6,952,124 factors as 2^2 × 41 × 42391. Its 12 positive divisors give a proper-divisor sum of 5,511,124, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 42391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,463,248

Proper Divisor Sum 5,511,124

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6952123 ← → #6952139

Radix Representation

Decimal	6952124
Binary	11010100001010010111100 (23 bits)
Octal	0o32412274
Hexadecimal	0x6A14BC

Divisor Catalog (12)

1 2 4 41 82 164 42,391 84,782 169,564 1,738,031 3,476,062 6,952,124

Collatz Trajectory (191 steps to reach 1)

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

6,952,124 3,476,062 1,738,031 5,214,094 2,607,047 7,821,142 3,910,571 11,731,714 5,865,857 17,597,572 8,798,786 4,399,393 13,198,180 6,599,090 3,299,545 9,898,636 4,949,318 2,474,659 7,423,978 3,711,989 11,135,968 5,567,984 2,783,992 1,391,996 695,998 347,999 1,043,998 521,999 1,565,998 782,999 2,348,998 1,174,499 3,523,498 1,761,749 5,285,248 2,642,624 1,321,312 660,656 330,328 165,164 82,582 41,291 123,874 61,937 185,812 92,906 46,453 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225

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