1,920,008

2³ × 107 × 2243

1,920,008 factors as 2^3 × 107 × 2243. Its 16 positive divisors give a proper-divisor sum of 1,715,272, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 107 × 2243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,635,280

Proper Divisor Sum 1,715,272

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1920001 ← → #1920011

Radix Representation

Decimal	1920008
Binary	111010100110000001000 (21 bits)
Octal	0o7246010
Hexadecimal	0x1D4C08

Divisor Catalog (16)

1 2 4 8 107 214 428 856 2,243 4,486 8,972 17,944 240,001 480,002 960,004 1,920,008

Collatz Trajectory (70 steps to reach 1)

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

1,920,008 960,004 480,002 240,001 720,004 360,002 180,001 540,004 270,002 135,001 405,004 202,502 101,251 303,754 151,877 455,632 227,816 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,920,007 Browse Full Index Next Integer #1,920,009 →