3,208,376

2³ × 17 × 31 × 761

Starting at 3,208,376, the Collatz iteration reaches 1 after 94 steps. The first transition is 1604188; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 31 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,583,680

Proper Divisor Sum 3,375,304

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3208367 ← → #3208379

Radix Representation

Decimal	3208376
Binary	1100001111010010111000 (22 bits)
Octal	0o14172270
Hexadecimal	0x30F4B8

Divisor Catalog (32)

1 2 4 8 17 31 34 62 68 124 136 248 527 761 1,054 1,522 2,108 3,044 4,216 6,088 12,937 23,591 25,874 47,182 51,748 94,364 103,496 188,728 401,047 802,094 1,604,188 3,208,376

Collatz Trajectory (94 steps to reach 1)

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

3,208,376 1,604,188 802,094 401,047 1,203,142 601,571 1,804,714 902,357 2,707,072 1,353,536 676,768 338,384 169,192 84,596 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395

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