7,642,858

2 × 47 × 81307

Starting at 7,642,858, the Collatz iteration reaches 1 after 80 steps. The first transition is 3821429; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 81307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,708,352

Proper Divisor Sum 4,065,494

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7642853 ← → #7642861

Radix Representation

Decimal	7642858
Binary	11101001001111011101010 (23 bits)
Octal	0o35117352
Hexadecimal	0x749EEA

Divisor Catalog (8)

1 2 47 94 81,307 162,614 3,821,429 7,642,858

Collatz Trajectory (80 steps to reach 1)

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

7,642,858 3,821,429 11,464,288 5,732,144 2,866,072 1,433,036 716,518 358,259 1,074,778 537,389 1,612,168 806,084 403,042 201,521 604,564 302,282 151,141 453,424 226,712 113,356 56,678 28,339 85,018 42,509 127,528 63,764 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38

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