7,200,401

13 × 17 × 31 × 1051

7,200,401 factors as 13 × 17 × 31 × 1051. Its 16 positive divisors give a proper-divisor sum of 1,282,927, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 13 × 17 × 31 × 1051

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,483,328

Proper Divisor Sum 1,282,927

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #7200397 ← → #7200409

Radix Representation

Decimal	7200401
Binary	11011011101111010010001 (23 bits)
Octal	0o33357221
Hexadecimal	0x6DDE91

Divisor Catalog (16)

1 13 17 31 221 403 527 1,051 6,851 13,663 17,867 32,581 232,271 423,553 553,877 7,200,401

Collatz Trajectory (116 steps to reach 1)

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

7,200,401 21,601,204 10,800,602 5,400,301 16,200,904 8,100,452 4,050,226 2,025,113 6,075,340 3,037,670 1,518,835 4,556,506 2,278,253 6,834,760 3,417,380 1,708,690 854,345 2,563,036 1,281,518 640,759 1,922,278 961,139 2,883,418 1,441,709 4,325,128 2,162,564 1,081,282 540,641 1,621,924 810,962 405,481 1,216,444 608,222 304,111 912,334 456,167 1,368,502 684,251 2,052,754 1,026,377 3,079,132 1,539,566 769,783 2,309,350 1,154,675 3,464,026 1,732,013 5,196,040 2,598,020 1,299,010 649,505 1,948,516 974,258 487,129 1,461,388 730,694 365,347 1,096,042 548,021 1,644,064

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