5,516,108

2² × 13 × 37 × 47 × 61

Starting at 5,516,108, the Collatz iteration reaches 1 after 201 steps. The first transition is 2758054; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 47 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,082,624

Proper Divisor Sum 5,566,516

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5516107 ← → #5516123

Radix Representation

Decimal	5516108
Binary	10101000010101101001100 (23 bits)
Octal	0o25025514
Hexadecimal	0x542B4C

Divisor Catalog (48)

1 2 4 13 26 37 47 52 61 74 94 122 148 188 244 481 611 793 962 1,222 1,586 1,739 1,924 2,257 2,444 2,867 3,172 3,478 4,514 5,734 6,956 9,028 11,468 22,607 29,341 37,271 45,214 58,682 74,542 90,428 106,079 117,364 149,084 212,158 424,316 1,379,027 2,758,054 5,516,108

Collatz Trajectory (201 steps to reach 1)

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

5,516,108 2,758,054 1,379,027 4,137,082 2,068,541 6,205,624 3,102,812 1,551,406 775,703 2,327,110 1,163,555 3,490,666 1,745,333 5,236,000 2,618,000 1,309,000 654,500 327,250 163,625 490,876 245,438 122,719 368,158 184,079 552,238 276,119 828,358 414,179 1,242,538 621,269 1,863,808 931,904 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951

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