7,202,571

3 × 31 × 77447

7,202,571 factors as 3 × 31 × 77447. Its 8 positive divisors give a proper-divisor sum of 2,710,773, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 31 × 77447

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,913,344

Proper Divisor Sum 2,710,773

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7202561 ← → #7202579

Radix Representation

Decimal	7202571
Binary	11011011110011100001011 (23 bits)
Octal	0o33363413
Hexadecimal	0x6DE70B

Divisor Catalog (8)

1 3 31 93 77,447 232,341 2,400,857 7,202,571

Collatz Trajectory (142 steps to reach 1)

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

7,202,571 21,607,714 10,803,857 32,411,572 16,205,786 8,102,893 24,308,680 12,154,340 6,077,170 3,038,585 9,115,756 4,557,878 2,278,939 6,836,818 3,418,409 10,255,228 5,127,614 2,563,807 7,691,422 3,845,711 11,537,134 5,768,567 17,305,702 8,652,851 25,958,554 12,979,277 38,937,832 19,468,916 9,734,458 4,867,229 14,601,688 7,300,844 3,650,422 1,825,211 5,475,634 2,737,817 8,213,452 4,106,726 2,053,363 6,160,090 3,080,045 9,240,136 4,620,068 2,310,034 1,155,017 3,465,052 1,732,526 866,263 2,598,790 1,299,395 3,898,186 1,949,093 5,847,280 2,923,640 1,461,820 730,910 365,455 1,096,366 548,183 1,644,550

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