λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,779,584

4,779,584

26 × 17 × 23 × 191
Abundant Even Composite

4,779,584 factors as 2^6 × 17 × 23 × 191. Its 56 positive divisors give a proper-divisor sum of 5,754,304, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 23 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,533,888
Proper Divisor Sum 5,754,304
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4779563 ← → #4779589

Radix Representation

Decimal 4779584
Binary 10010001110111001000000 (23 bits)
Octal 0o22167100
Hexadecimal 0x48EE40

Divisor Catalog (56)

1 2 4 8 16 17 23 32 34 46 64 68 92 136 184 191 272 368 382 391 544 736 764 782 1,088 1,472 1,528 1,564 3,056 3,128 3,247 4,393 6,112 6,256 6,494 8,786 12,224 12,512 12,988 17,572 25,024 25,976 35,144 51,952 70,288 74,681 103,904 140,576 149,362 207,808 281,152 298,724 597,448 1,194,896 2,389,792 4,779,584

Collatz Trajectory (118 steps to reach 1)

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

4,779,584 2,389,792 1,194,896 597,448 298,724 149,362 74,681 224,044 112,022 56,011 168,034 84,017 252,052 126,026 63,013 189,040 94,520 47,260 23,630 11,815 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #4,779,583 Browse Full Index Next Integer #4,779,585 →