8,986,984

2³ × 29 × 38737

8,986,984 factors as 2^3 × 29 × 38737. Its 16 positive divisors give a proper-divisor sum of 8,445,116, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 38737

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,432,100

Proper Divisor Sum 8,445,116

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #8986963 ← → #8986987

Radix Representation

Decimal	8986984
Binary	100010010010000101101000 (24 bits)
Octal	0o42220550
Hexadecimal	0x892168

Divisor Catalog (16)

1 2 4 8 29 58 116 232 38,737 77,474 154,948 309,896 1,123,373 2,246,746 4,493,492 8,986,984

Collatz Trajectory (88 steps to reach 1)

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

8,986,984 4,493,492 2,246,746 1,123,373 3,370,120 1,685,060 842,530 421,265 1,263,796 631,898 315,949 947,848 473,924 236,962 118,481 355,444 177,722 88,861 266,584 133,292 66,646 33,323 99,970 49,985 149,956 74,978 37,489 112,468 56,234 28,117 84,352 42,176 21,088 10,544 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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