λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,754,064

1,754,064

24 × 32 × 13 × 937
Abundant Even Composite

1,754,064 factors as 2^4 × 3^2 × 13 × 937. Its 60 positive divisors give a proper-divisor sum of 3,538,132, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 5,292,196
Proper Divisor Sum 3,538,132
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1754063 ← → #1754113

Radix Representation

Decimal 1754064
Binary 110101100001111010000 (21 bits)
Octal 0o6541720
Hexadecimal 0x1AC3D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 937 1,872 1,874 2,811 3,748 5,622 7,496 8,433 11,244 12,181 14,992 16,866 22,488 24,362 33,732 36,543 44,976 48,724 67,464 73,086 97,448 109,629 134,928 146,172 194,896 219,258 292,344 438,516 584,688 877,032 1,754,064

Collatz Trajectory (65 steps to reach 1)

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

1,754,064 877,032 438,516 219,258 109,629 328,888 164,444 82,222 41,111 123,334 61,667 185,002 92,501 277,504 138,752 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,754,063 Browse Full Index Next Integer #1,754,065 →