7,677,078

2 × 3 × 23 × 55631

Starting at 7,677,078, the Collatz iteration reaches 1 after 98 steps. The first transition is 3838539; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 55631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,022,016

Proper Divisor Sum 8,344,938

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7677073 ← → #7677079

Radix Representation

Decimal	7677078
Binary	11101010010010010010110 (23 bits)
Octal	0o35222226
Hexadecimal	0x752496

Divisor Catalog (16)

1 2 3 6 23 46 69 138 55,631 111,262 166,893 333,786 1,279,513 2,559,026 3,838,539 7,677,078

Collatz Trajectory (98 steps to reach 1)

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

7,677,078 3,838,539 11,515,618 5,757,809 17,273,428 8,636,714 4,318,357 12,955,072 6,477,536 3,238,768 1,619,384 809,692 404,846 202,423 607,270 303,635 910,906 455,453 1,366,360 683,180 341,590 170,795 512,386 256,193 768,580 384,290 192,145 576,436 288,218 144,109 432,328 216,164 108,082 54,041 162,124 81,062 40,531 121,594 60,797 182,392 91,196 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117

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