7,210,106

2 × 613 × 5881

Starting at 7,210,106, the Collatz iteration reaches 1 after 90 steps. The first transition is 3605053; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 613 × 5881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,834,644

Proper Divisor Sum 3,624,538

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7210061 ← → #7210117

Radix Representation

Decimal	7210106
Binary	11011100000010001111010 (23 bits)
Octal	0o33402172
Hexadecimal	0x6E047A

Divisor Catalog (8)

1 2 613 1,226 5,881 11,762 3,605,053 7,210,106

Collatz Trajectory (90 steps to reach 1)

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

7,210,106 3,605,053 10,815,160 5,407,580 2,703,790 1,351,895 4,055,686 2,027,843 6,083,530 3,041,765 9,125,296 4,562,648 2,281,324 1,140,662 570,331 1,710,994 855,497 2,566,492 1,283,246 641,623 1,924,870 962,435 2,887,306 1,443,653 4,330,960 2,165,480 1,082,740 541,370 270,685 812,056 406,028 203,014 101,507 304,522 152,261 456,784 228,392 114,196 57,098 28,549 85,648 42,824 21,412 10,706 5,353 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624

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