7,201,337

11 × 13 × 50359

7,201,337 factors as 11 × 13 × 50359. Its 8 positive divisors give a proper-divisor sum of 1,259,143, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 11 × 13 × 50359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,460,480

Proper Divisor Sum 1,259,143

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7201307 ← → #7201351

Radix Representation

Decimal	7201337
Binary	11011011110001000111001 (23 bits)
Octal	0o33361071
Hexadecimal	0x6DE239

Divisor Catalog (8)

1 11 13 143 50,359 553,949 654,667 7,201,337

Collatz Trajectory (204 steps to reach 1)

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

7,201,337 21,604,012 10,802,006 5,401,003 16,203,010 8,101,505 24,304,516 12,152,258 6,076,129 18,228,388 9,114,194 4,557,097 13,671,292 6,835,646 3,417,823 10,253,470 5,126,735 15,380,206 7,690,103 23,070,310 11,535,155 34,605,466 17,302,733 51,908,200 25,954,100 12,977,050 6,488,525 19,465,576 9,732,788 4,866,394 2,433,197 7,299,592 3,649,796 1,824,898 912,449 2,737,348 1,368,674 684,337 2,053,012 1,026,506 513,253 1,539,760 769,880 384,940 192,470 96,235 288,706 144,353 433,060 216,530 108,265 324,796 162,398 81,199 243,598 121,799 365,398 182,699 548,098 274,049

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