8,378,331

3 × 13 × 17 × 12637

Starting at 8,378,331, the Collatz iteration reaches 1 after 168 steps. The first transition is 25134994; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 12637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,739,104

Proper Divisor Sum 4,360,773

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8378327 ← → #8378341

Radix Representation

Decimal	8378331
Binary	11111111101011111011011 (23 bits)
Octal	0o37753733
Hexadecimal	0x7FD7DB

Divisor Catalog (16)

1 3 13 17 39 51 221 663 12,637 37,911 164,281 214,829 492,843 644,487 2,792,777 8,378,331

Collatz Trajectory (168 steps to reach 1)

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

8,378,331 25,134,994 12,567,497 37,702,492 18,851,246 9,425,623 28,276,870 14,138,435 42,415,306 21,207,653 63,622,960 31,811,480 15,905,740 7,952,870 3,976,435 11,929,306 5,964,653 17,893,960 8,946,980 4,473,490 2,236,745 6,710,236 3,355,118 1,677,559 5,032,678 2,516,339 7,549,018 3,774,509 11,323,528 5,661,764 2,830,882 1,415,441 4,246,324 2,123,162 1,061,581 3,184,744 1,592,372 796,186 398,093 1,194,280 597,140 298,570 149,285 447,856 223,928 111,964 55,982 27,991 83,974 41,987 125,962 62,981 188,944 94,472 47,236 23,618 11,809 35,428 17,714 8,857

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