7,406,667

3³ × 23 × 11927

Starting at 7,406,667, the Collatz iteration reaches 1 after 173 steps. The first transition is 22220002; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23 × 11927

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,450,880

Proper Divisor Sum 4,044,213

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7406639 ← → #7406677

Radix Representation

Decimal	7406667
Binary	11100010000010001001011 (23 bits)
Octal	0o34202113
Hexadecimal	0x71044B

Divisor Catalog (16)

1 3 9 23 27 69 207 621 11,927 35,781 107,343 274,321 322,029 822,963 2,468,889 7,406,667

Collatz Trajectory (173 steps to reach 1)

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

7,406,667 22,220,002 11,110,001 33,330,004 16,665,002 8,332,501 24,997,504 12,498,752 6,249,376 3,124,688 1,562,344 781,172 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995 98,986 49,493 148,480 74,240 37,120 18,560 9,280 4,640 2,320 1,160 580 290 145 436 218

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