λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,247,376

2,247,376

24 × 23 × 31 × 197
Abundant Even Composite

2,247,376 factors as 2^4 × 23 × 31 × 197. Its 40 positive divisors give a proper-divisor sum of 2,466,608, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 31 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,713,984
Proper Divisor Sum 2,466,608
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2247373 ← → #2247379

Radix Representation

Decimal 2247376
Binary 1000100100101011010000 (22 bits)
Octal 0o10445320
Hexadecimal 0x224AD0

Divisor Catalog (40)

1 2 4 8 16 23 31 46 62 92 124 184 197 248 368 394 496 713 788 1,426 1,576 2,852 3,152 4,531 5,704 6,107 9,062 11,408 12,214 18,124 24,428 36,248 48,856 72,496 97,712 140,461 280,922 561,844 1,123,688 2,247,376

Collatz Trajectory (73 steps to reach 1)

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

2,247,376 1,123,688 561,844 280,922 140,461 421,384 210,692 105,346 52,673 158,020 79,010 39,505 118,516 59,258 29,629 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,247,375 Browse Full Index Next Integer #2,247,377 →