8,174,144

2⁶ × 11 × 17 × 683

Starting at 8,174,144, the Collatz iteration reaches 1 after 230 steps. The first transition is 4087072; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 11 × 17 × 683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 18,763,488

Proper Divisor Sum 10,589,344

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8174113 ← → #8174167

Radix Representation

Decimal	8174144
Binary	11111001011101001000000 (23 bits)
Octal	0o37135100
Hexadecimal	0x7CBA40

Divisor Catalog (56)

1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 683 704 748 1,088 1,366 1,496 2,732 2,992 5,464 5,984 7,513 10,928 11,611 11,968 15,026 21,856 23,222 30,052 43,712 46,444 60,104 92,888 120,208 127,721 185,776 240,416 255,442 371,552 480,832 510,884 743,104 1,021,768 2,043,536 4,087,072 8,174,144

Collatz Trajectory (230 steps to reach 1)

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

8,174,144 4,087,072 2,043,536 1,021,768 510,884 255,442 127,721 383,164 191,582 95,791 287,374 143,687 431,062 215,531 646,594 323,297 969,892 484,946 242,473 727,420 363,710 181,855 545,566 272,783 818,350 409,175 1,227,526 613,763 1,841,290 920,645 2,761,936 1,380,968 690,484 345,242 172,621 517,864 258,932 129,466 64,733 194,200 97,100 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642

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