884,976

2⁴ × 3 × 103 × 179

Starting at 884,976, the Collatz iteration reaches 1 after 95 steps. The first transition is 442488; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 103 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,321,280

Proper Divisor Sum 1,436,304

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #884959 ← → #884977

Radix Representation

Decimal	884976
Binary	11011000000011110000 (20 bits)
Octal	0o3300360
Hexadecimal	0xD80F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 103 179 206 309 358 412 537 618 716 824 1,074 1,236 1,432 1,648 2,148 2,472 2,864 4,296 4,944 8,592 18,437 36,874 55,311 73,748 110,622 147,496 221,244 294,992 442,488 884,976

Collatz Trajectory (95 steps to reach 1)

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

884,976 442,488 221,244 110,622 55,311 165,934 82,967 248,902 124,451 373,354 186,677 560,032 280,016 140,008 70,004 35,002 17,501 52,504 26,252 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157

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