7,848,678

2 × 3 × 151 × 8663

Starting at 7,848,678, the Collatz iteration reaches 1 after 98 steps. The first transition is 3924339; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 151 × 8663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,803,136

Proper Divisor Sum 7,954,458

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7848667 ← → #7848689

Radix Representation

Decimal	7848678
Binary	11101111100001011100110 (23 bits)
Octal	0o35741346
Hexadecimal	0x77C2E6

Divisor Catalog (16)

1 2 3 6 151 302 453 906 8,663 17,326 25,989 51,978 1,308,113 2,616,226 3,924,339 7,848,678

Collatz Trajectory (98 steps to reach 1)

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

7,848,678 3,924,339 11,773,018 5,886,509 17,659,528 8,829,764 4,414,882 2,207,441 6,622,324 3,311,162 1,655,581 4,966,744 2,483,372 1,241,686 620,843 1,862,530 931,265 2,793,796 1,396,898 698,449 2,095,348 1,047,674 523,837 1,571,512 785,756 392,878 196,439 589,318 294,659 883,978 441,989 1,325,968 662,984 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233 279,700 139,850 69,925 209,776 104,888 52,444 26,222 13,111 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786

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