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Atlas › Integer Profiles › Node 2,440,992

2,440,992

25 × 3 × 47 × 541
Abundant Even Composite

2,440,992 is even and not a perfect square. Its factorization is 2^5 × 3 × 47 × 541 and its 48 divisors sum to 6,556,032.

Prime Factor Structure

Factorization String 2^5 × 3 × 47 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,556,032
Proper Divisor Sum 4,115,040
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2440973 ← → #2440993

Radix Representation

Decimal 2440992
Binary 1001010011111100100000 (22 bits)
Octal 0o11237440
Hexadecimal 0x253F20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 541 564 752 1,082 1,128 1,504 1,623 2,164 2,256 3,246 4,328 4,512 6,492 8,656 12,984 17,312 25,427 25,968 50,854 51,936 76,281 101,708 152,562 203,416 305,124 406,832 610,248 813,664 1,220,496 2,440,992

Collatz Trajectory (68 steps to reach 1)

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

2,440,992 1,220,496 610,248 305,124 152,562 76,281 228,844 114,422 57,211 171,634 85,817 257,452 128,726 64,363 193,090 96,545 289,636 144,818 72,409 217,228 108,614 54,307 162,922 81,461 244,384 122,192 61,096 30,548 15,274 7,637 22,912 11,456 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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