λ
Integer Codex

3,246,072

23 × 3 × 31 × 4363
Abundant Even Composite

For 3,246,072, the 32 positive divisors have a total of 8,378,880. Removing 3,246,072 leaves 5,132,808, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 4363
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,378,880
Proper Divisor Sum 5,132,808
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3246007 ← → #3246073

Radix Representation

Decimal 3246072
Binary 1100011000011111111000 (22 bits)
Octal 0o14303770
Hexadecimal 0x3187F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 4,363 8,726 13,089 17,452 26,178 34,904 52,356 104,712 135,253 270,506 405,759 541,012 811,518 1,082,024 1,623,036 3,246,072

Collatz Trajectory (208 steps to reach 1)

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

3,246,072 1,623,036 811,518 405,759 1,217,278 608,639 1,825,918 912,959 2,738,878 1,369,439 4,108,318 2,054,159 6,162,478 3,081,239 9,243,718 4,621,859 13,865,578 6,932,789 20,798,368 10,399,184 5,199,592 2,599,796 1,299,898 649,949 1,949,848 974,924 487,462 243,731 731,194 365,597 1,096,792 548,396 274,198 137,099 411,298 205,649 616,948 308,474 154,237 462,712 231,356 115,678 57,839 173,518 86,759 260,278 130,139 390,418 195,209 585,628 292,814 146,407 439,222 219,611 658,834 329,417 988,252 494,126 247,063 741,190

More profiles

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