6,872,075

5² × 7 × 107 × 367

6,872,075 factors as 5^2 × 7 × 107 × 367. Its 24 positive divisors give a proper-divisor sum of 2,984,437, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 107 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,856,512

Proper Divisor Sum 2,984,437

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6872071 ← → #6872081

Radix Representation

Decimal	6872075
Binary	11010001101110000001011 (23 bits)
Octal	0o32156013
Hexadecimal	0x68DC0B

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

6,872,075 20,616,226 10,308,113 30,924,340 15,462,170 7,731,085 23,193,256 11,596,628 5,798,314 2,899,157 8,697,472 4,348,736 2,174,368 1,087,184 543,592 271,796 135,898 67,949 203,848 101,924 50,962 25,481 76,444 38,222 19,111 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832 12,916 6,458 3,229 9,688 4,844 2,422 1,211

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