7,667,458

2 × 3833729

Starting at 7,667,458, the Collatz iteration reaches 1 after 186 steps. The first transition is 3833729; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3833729

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,501,190

Proper Divisor Sum 3,833,732

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7667453 ← → #7667461

Radix Representation

Decimal	7667458
Binary	11101001111111100000010 (23 bits)
Octal	0o35177402
Hexadecimal	0x74FF02

Divisor Catalog (4)

1 2 3,833,729 7,667,458

Collatz Trajectory (186 steps to reach 1)

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

7,667,458 3,833,729 11,501,188 5,750,594 2,875,297 8,625,892 4,312,946 2,156,473 6,469,420 3,234,710 1,617,355 4,852,066 2,426,033 7,278,100 3,639,050 1,819,525 5,458,576 2,729,288 1,364,644 682,322 341,161 1,023,484 511,742 255,871 767,614 383,807 1,151,422 575,711 1,727,134 863,567 2,590,702 1,295,351 3,886,054 1,943,027 5,829,082 2,914,541 8,743,624 4,371,812 2,185,906 1,092,953 3,278,860 1,639,430 819,715 2,459,146 1,229,573 3,688,720 1,844,360 922,180 461,090 230,545 691,636 345,818 172,909 518,728 259,364 129,682 64,841 194,524 97,262 48,631

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