λ
Integer Codex

2,375,592

23 × 3 × 312 × 103
Abundant Even Composite

For 2,375,592, the 48 positive divisors have a total of 6,196,320. Removing 2,375,592 leaves 3,820,728, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 31^2 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,196,320
Proper Divisor Sum 3,820,728
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2375573 ← → #2375603

Radix Representation

Decimal 2375592
Binary 1001000011111110101000 (22 bits)
Octal 0o11037650
Hexadecimal 0x243FA8

Divisor Catalog (48)

1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 618 744 824 961 1,236 1,922 2,472 2,883 3,193 3,844 5,766 6,386 7,688 9,579 11,532 12,772 19,158 23,064 25,544 38,316 76,632 98,983 197,966 296,949 395,932 593,898 791,864 1,187,796 2,375,592

Collatz Trajectory (148 steps to reach 1)

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

2,375,592 1,187,796 593,898 296,949 890,848 445,424 222,712 111,356 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070

More profiles

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