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Atlas › Integer Profiles › Node 1,450,656

1,450,656

25 × 33 × 23 × 73
Abundant Even Composite

1,450,656 factors as 2^5 × 3^3 × 23 × 73. Its 96 positive divisors give a proper-divisor sum of 3,024,864, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 23 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,475,520
Proper Divisor Sum 3,024,864
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1450651 ← → #1450697

Radix Representation

Decimal 1450656
Binary 101100010001010100000 (21 bits)
Octal 0o5421240
Hexadecimal 0x1622A0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 73 92 96 108 138 144 146 184 207 216 219 276 288 292 368 414 432 438 552 584 621 657 736 828 864 876 1,104 1,168 1,242 1,314 1,656 1,679 1,752 1,971 2,208 2,336 2,484 2,628 3,312 3,358

Collatz Trajectory (137 steps to reach 1)

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

1,450,656 725,328 362,664 181,332 90,666 45,333 136,000 68,000 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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