6,537,715

5 × 37 × 35339

Starting at 6,537,715, the Collatz iteration reaches 1 after 178 steps. The first transition is 19613146; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 35339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,057,520

Proper Divisor Sum 1,519,805

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6537701 ← → #6537733

Radix Representation

Decimal	6537715
Binary	11000111100000111110011 (23 bits)
Octal	0o30740763
Hexadecimal	0x63C1F3

Divisor Catalog (8)

1 5 37 185 35,339 176,695 1,307,543 6,537,715

Collatz Trajectory (178 steps to reach 1)

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

6,537,715 19,613,146 9,806,573 29,419,720 14,709,860 7,354,930 3,677,465 11,032,396 5,516,198 2,758,099 8,274,298 4,137,149 12,411,448 6,205,724 3,102,862 1,551,431 4,654,294 2,327,147 6,981,442 3,490,721 10,472,164 5,236,082 2,618,041 7,854,124 3,927,062 1,963,531 5,890,594 2,945,297 8,835,892 4,417,946 2,208,973 6,626,920 3,313,460 1,656,730 828,365 2,485,096 1,242,548 621,274 310,637 931,912 465,956 232,978 116,489 349,468 174,734 87,367 262,102 131,051 393,154 196,577 589,732 294,866 147,433 442,300 221,150 110,575 331,726 165,863 497,590 248,795

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