7,567,966

2 × 7 × 19 × 23 × 1237

Starting at 7,567,966, the Collatz iteration reaches 1 after 155 steps. The first transition is 3783983; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 23 × 1237

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,261,760

Proper Divisor Sum 6,693,794

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7567933 ← → #7567991

Radix Representation

Decimal	7567966
Binary	11100110111101001011110 (23 bits)
Octal	0o34675136
Hexadecimal	0x737A5E

Divisor Catalog (32)

1 2 7 14 19 23 38 46 133 161 266 322 437 874 1,237 2,474 3,059 6,118 8,659 17,318 23,503 28,451 47,006 56,902 164,521 199,157 329,042 398,314 540,569 1,081,138 3,783,983 7,567,966

Collatz Trajectory (155 steps to reach 1)

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

7,567,966 3,783,983 11,351,950 5,675,975 17,027,926 8,513,963 25,541,890 12,770,945 38,312,836 19,156,418 9,578,209 28,734,628 14,367,314 7,183,657 21,550,972 10,775,486 5,387,743 16,163,230 8,081,615 24,244,846 12,122,423 36,367,270 18,183,635 54,550,906 27,275,453 81,826,360 40,913,180 20,456,590 10,228,295 30,684,886 15,342,443 46,027,330 23,013,665 69,040,996 34,520,498 17,260,249 51,780,748 25,890,374 12,945,187 38,835,562 19,417,781 58,253,344 29,126,672 14,563,336 7,281,668 3,640,834 1,820,417 5,461,252 2,730,626 1,365,313 4,095,940 2,047,970 1,023,985 3,071,956 1,535,978 767,989 2,303,968 1,151,984 575,992 287,996

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