2,076,448

2⁵ × 11 × 17 × 347

Starting at 2,076,448, the Collatz iteration reaches 1 after 78 steps. The first transition is 1038224; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 17 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,735,584

Proper Divisor Sum 2,659,136

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2076443 ← → #2076449

Radix Representation

Decimal	2076448
Binary	111111010111100100000 (21 bits)
Octal	0o7727440
Hexadecimal	0x1FAF20

Divisor Catalog (48)

1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 347 352 374 544 694 748 1,388 1,496 2,776 2,992 3,817 5,552 5,899 5,984 7,634 11,104 11,798 15,268 23,596 30,536 47,192 61,072 64,889 94,384 122,144 129,778 188,768 259,556 519,112 1,038,224 2,076,448

Collatz Trajectory (78 steps to reach 1)

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

2,076,448 1,038,224 519,112 259,556 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61

← Previous Integer #2,076,447 Browse Full Index Next Integer #2,076,449 →