1,219,984

2⁴ × 76249

1,219,984 factors as 2^4 × 76249. Its 10 positive divisors give a proper-divisor sum of 1,143,766, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 76249

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 2,363,750

Proper Divisor Sum 1,143,766

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1219963 ← → #1219991

Radix Representation

Decimal	1219984
Binary	100101001110110010000 (21 bits)
Octal	0o4516620
Hexadecimal	0x129D90

Divisor Catalog (10)

1 2 4 8 16 76,249 152,498 304,996 609,992 1,219,984

Collatz Trajectory (85 steps to reach 1)

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

1,219,984 609,992 304,996 152,498 76,249 228,748 114,374 57,187 171,562 85,781 257,344 128,672 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

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