7,654,646

2 × 61 × 62743

Starting at 7,654,646, the Collatz iteration reaches 1 after 248 steps. The first transition is 3827323; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 62743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,670,384

Proper Divisor Sum 4,015,738

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7654627 ← → #7654649

Radix Representation

Decimal	7654646
Binary	11101001100110011110110 (23 bits)
Octal	0o35146366
Hexadecimal	0x74CCF6

Divisor Catalog (8)

1 2 61 122 62,743 125,486 3,827,323 7,654,646

Collatz Trajectory (248 steps to reach 1)

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

7,654,646 3,827,323 11,481,970 5,740,985 17,222,956 8,611,478 4,305,739 12,917,218 6,458,609 19,375,828 9,687,914 4,843,957 14,531,872 7,265,936 3,632,968 1,816,484 908,242 454,121 1,362,364 681,182 340,591 1,021,774 510,887 1,532,662 766,331 2,298,994 1,149,497 3,448,492 1,724,246 862,123 2,586,370 1,293,185 3,879,556 1,939,778 969,889 2,909,668 1,454,834 727,417 2,182,252 1,091,126 545,563 1,636,690 818,345 2,455,036 1,227,518 613,759 1,841,278 920,639 2,761,918 1,380,959 4,142,878 2,071,439 6,214,318 3,107,159 9,321,478 4,660,739 13,982,218 6,991,109 20,973,328 10,486,664

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