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Atlas › Integer Profiles › Node 6,450,280

6,450,280

23 × 5 × 472 × 73
Abundant Even Composite

6,450,280 factors as 2^3 × 5 × 47^2 × 73. Its 48 positive divisors give a proper-divisor sum of 8,581,340, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 47^2 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,031,620
Proper Divisor Sum 8,581,340
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6450277 ← → #6450287

Radix Representation

Decimal 6450280
Binary 11000100110110001101000 (23 bits)
Octal 0o30466150
Hexadecimal 0x626C68

Divisor Catalog (48)

1 2 4 5 8 10 20 40 47 73 94 146 188 235 292 365 376 470 584 730 940 1,460 1,880 2,209 2,920 3,431 4,418 6,862 8,836 11,045 13,724 17,155 17,672 22,090 27,448 34,310 44,180 68,620 88,360 137,240 161,257 322,514 645,028 806,285 1,290,056 1,612,570 3,225,140 6,450,280

Collatz Trajectory (72 steps to reach 1)

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

6,450,280 3,225,140 1,612,570 806,285 2,418,856 1,209,428 604,714 302,357 907,072 453,536 226,768 113,384 56,692 28,346 14,173 42,520 21,260 10,630 5,315 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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