4,765,124

2² × 7 × 13² × 19 × 53

4,765,124 factors as 2^2 × 7 × 13^2 × 19 × 53. Its 72 positive divisors give a proper-divisor sum of 6,302,716, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 19 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,067,840

Proper Divisor Sum 6,302,716

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4765121 ← → #4765127

Radix Representation

Decimal	4765124
Binary	10010001011010111000100 (23 bits)
Octal	0o22132704
Hexadecimal	0x48B5C4

Divisor Catalog (60 of 72)

1 2 4 7 13 14 19 26 28 38 52 53 76 91 106 133 169 182 212 247 266 338 364 371 494 532 676 689 742 988 1,007 1,183 1,378 1,484 1,729 2,014 2,366 2,756 3,211 3,458 4,028 4,732 4,823 6,422 6,916 7,049 8,957 9,646 12,844 13,091 14,098 17,914 19,292 22,477 26,182 28,196 35,828 44,954 52,364 62,699

Collatz Trajectory (118 steps to reach 1)

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

4,765,124 2,382,562 1,191,281 3,573,844 1,786,922 893,461 2,680,384 1,340,192 670,096 335,048 167,524 83,762 41,881 125,644 62,822 31,411 94,234 47,117 141,352 70,676 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 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.

No other profiles in this collection.

← Previous Integer #4,765,123 Browse Full Index Next Integer #4,765,125 →