3,928,197

3 × 7 × 13 × 14389

Starting at 3,928,197, the Collatz iteration reaches 1 after 123 steps. The first transition is 11784592; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 14389

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,446,720

Proper Divisor Sum 2,518,523

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3928189 ← → #3928229

Radix Representation

Decimal	3928197
Binary	1110111111000010000101 (22 bits)
Octal	0o16770205
Hexadecimal	0x3BF085

Divisor Catalog (16)

1 3 7 13 21 39 91 273 14,389 43,167 100,723 187,057 302,169 561,171 1,309,399 3,928,197

Collatz Trajectory (123 steps to reach 1)

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

3,928,197 11,784,592 5,892,296 2,946,148 1,473,074 736,537 2,209,612 1,104,806 552,403 1,657,210 828,605 2,485,816 1,242,908 621,454 310,727 932,182 466,091 1,398,274 699,137 2,097,412 1,048,706 524,353 1,573,060 786,530 393,265 1,179,796 589,898 294,949 884,848 442,424 221,212 110,606 55,303 165,910 82,955 248,866 124,433 373,300 186,650 93,325 279,976 139,988 69,994 34,997 104,992 52,496 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156

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