7,202,110

2 × 5 × 720211

Starting at 7,202,110, the Collatz iteration reaches 1 after 266 steps. The first transition is 3601055; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 720211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,963,816

Proper Divisor Sum 5,761,706

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #7202099 ← → #7202119

Radix Representation

Decimal	7202110
Binary	11011011110010100111110 (23 bits)
Octal	0o33362476
Hexadecimal	0x6DE53E

Divisor Catalog (8)

1 2 5 10 720,211 1,440,422 3,601,055 7,202,110

Collatz Trajectory (266 steps to reach 1)

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

7,202,110 3,601,055 10,803,166 5,401,583 16,204,750 8,102,375 24,307,126 12,153,563 36,460,690 18,230,345 54,691,036 27,345,518 13,672,759 41,018,278 20,509,139 61,527,418 30,763,709 92,291,128 46,145,564 23,072,782 11,536,391 34,609,174 17,304,587 51,913,762 25,956,881 77,870,644 38,935,322 19,467,661 58,402,984 29,201,492 14,600,746 7,300,373 21,901,120 10,950,560 5,475,280 2,737,640 1,368,820 684,410 342,205 1,026,616 513,308 256,654 128,327 384,982 192,491 577,474 288,737 866,212 433,106 216,553 649,660 324,830 162,415 487,246 243,623 730,870 365,435 1,096,306 548,153 1,644,460

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