3,817,517

11 × 23 × 79 × 191

Starting at 3,817,517, the Collatz iteration reaches 1 after 53 steps. The first transition is 11452552; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 23 × 79 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,423,680

Proper Divisor Sum 606,163

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3817511 ← → #3817523

Radix Representation

Decimal	3817517
Binary	1110100100000000101101 (22 bits)
Octal	0o16440055
Hexadecimal	0x3A402D

Divisor Catalog (16)

1 11 23 79 191 253 869 1,817 2,101 4,393 15,089 19,987 48,323 165,979 347,047 3,817,517

Collatz Trajectory (53 steps to reach 1)

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

3,817,517 11,452,552 5,726,276 2,863,138 1,431,569 4,294,708 2,147,354 1,073,677 3,221,032 1,610,516 805,258 402,629 1,207,888 603,944 301,972 150,986 75,493 226,480 113,240 56,620 28,310 14,155 42,466 21,233 63,700 31,850 15,925 47,776 23,888 11,944 5,972 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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