7,086,462

2 × 3 × 37 × 137 × 233

Starting at 7,086,462, the Collatz iteration reaches 1 after 222 steps. The first transition is 3543231; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 137 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,725,152

Proper Divisor Sum 7,638,690

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7086451 ← → #7086479

Radix Representation

Decimal	7086462
Binary	11011000010000101111110 (23 bits)
Octal	0o33020576
Hexadecimal	0x6C217E

Divisor Catalog (32)

1 2 3 6 37 74 111 137 222 233 274 411 466 699 822 1,398 5,069 8,621 10,138 15,207 17,242 25,863 30,414 31,921 51,726 63,842 95,763 191,526 1,181,077 2,362,154 3,543,231 7,086,462

Collatz Trajectory (222 steps to reach 1)

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

7,086,462 3,543,231 10,629,694 5,314,847 15,944,542 7,972,271 23,916,814 11,958,407 35,875,222 17,937,611 53,812,834 26,906,417 80,719,252 40,359,626 20,179,813 60,539,440 30,269,720 15,134,860 7,567,430 3,783,715 11,351,146 5,675,573 17,026,720 8,513,360 4,256,680 2,128,340 1,064,170 532,085 1,596,256 798,128 399,064 199,532 99,766 49,883 149,650 74,825 224,476 112,238 56,119 168,358 84,179 252,538 126,269 378,808 189,404 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948

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