1,377,688

2³ × 13² × 1019

1,377,688 has the prime decomposition 2^3 × 13^2 × 1019. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 1019

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,799,900

Proper Divisor Sum 1,422,212

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #1377679 ← → #1377713

Radix Representation

Decimal	1377688
Binary	101010000010110011000 (21 bits)
Octal	0o5202630
Hexadecimal	0x150598

Divisor Catalog (24)

1 2 4 8 13 26 52 104 169 338 676 1,019 1,352 2,038 4,076 8,152 13,247 26,494 52,988 105,976 172,211 344,422 688,844 1,377,688

Collatz Trajectory (111 steps to reach 1)

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

1,377,688 688,844 344,422 172,211 516,634 258,317 774,952 387,476 193,738 96,869 290,608 145,304 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656

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