8,277,696

2⁶ × 3² × 7 × 2053

Starting at 8,277,696, the Collatz iteration reaches 1 after 80 steps. The first transition is 4138848; the starting value is even with 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 27,129,232

Proper Divisor Sum 18,851,536

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8277683 ← → #8277697

Radix Representation

Decimal	8277696
Binary	11111100100111011000000 (23 bits)
Octal	0o37447300
Hexadecimal	0x7E4EC0

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1,008 1,344 2,016 2,053 4,032 4,106 6,159 8,212 12,318 14,371 16,424 18,477 24,636 28,742 32,848 36,954 43,113 49,272 57,484 65,696 73,908 86,226

Collatz Trajectory (80 steps to reach 1)

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

8,277,696 4,138,848 2,069,424 1,034,712 517,356 258,678 129,339 388,018 194,009 582,028 291,014 145,507 436,522 218,261 654,784 327,392 163,696 81,848 40,924 20,462 10,231 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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