λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,495,080

4,495,080

23 × 3 × 5 × 47 × 797
Abundant Even Composite

4,495,080 factors as 2^3 × 3 × 5 × 47 × 797. Its 64 positive divisors give a proper-divisor sum of 9,294,360, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 47 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,789,440
Proper Divisor Sum 9,294,360
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4495079 ← → #4495103

Radix Representation

Decimal 4495080
Binary 10001001001011011101000 (23 bits)
Octal 0o21113350
Hexadecimal 0x4496E8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 797 940 1,128 1,410 1,594 1,880 2,391 2,820 3,188 3,985 4,782 5,640 6,376 7,970 9,564 11,955 15,940 19,128 23,910 31,880 37,459 47,820 74,918 95,640 112,377 149,836 187,295 224,754 299,672 374,590 449,508 561,885 749,180 899,016

Collatz Trajectory (211 steps to reach 1)

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

4,495,080 2,247,540 1,123,770 561,885 1,685,656 842,828 421,414 210,707 632,122 316,061 948,184 474,092 237,046 118,523 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144 480,572 240,286 120,143 360,430 180,215 540,646 270,323 810,970 405,485 1,216,456 608,228 304,114 152,057 456,172 228,086 114,043 342,130 171,065

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,495,079 Browse Full Index Next Integer #4,495,081 →