3,189,736

2³ × 11 × 67 × 541

Starting at 3,189,736, the Collatz iteration reaches 1 after 102 steps. The first transition is 1594868; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 67 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,634,080

Proper Divisor Sum 3,444,344

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3189731 ← → #3189737

Radix Representation

Decimal	3189736
Binary	1100001010101111101000 (22 bits)
Octal	0o14125750
Hexadecimal	0x30ABE8

Divisor Catalog (32)

1 2 4 8 11 22 44 67 88 134 268 536 541 737 1,082 1,474 2,164 2,948 4,328 5,896 5,951 11,902 23,804 36,247 47,608 72,494 144,988 289,976 398,717 797,434 1,594,868 3,189,736

Collatz Trajectory (102 steps to reach 1)

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

3,189,736 1,594,868 797,434 398,717 1,196,152 598,076 299,038 149,519 448,558 224,279 672,838 336,419 1,009,258 504,629 1,513,888 756,944 378,472 189,236 94,618 47,309 141,928 70,964 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374

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