λ
Harmonic Matrix

4,934,724

22 × 3 × 53 × 7759
Abundant Even Composite

4,934,724 has digital root 6. The neighboring primes are 4934689 and 4934747; its proper-divisor sum differs from the starting integer by 1,863,672.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 7759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,733,120
Proper Divisor Sum 6,798,396
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4934689 ← → #4934747

Radix Representation

Decimal 4934724
Binary 10010110100110001000100 (23 bits)
Octal 0o22646104
Hexadecimal 0x4B4C44

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 7,759 15,518 23,277 31,036 46,554 93,108 411,227 822,454 1,233,681 1,644,908 2,467,362 4,934,724

Collatz Trajectory (82 steps to reach 1)

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

4,934,724 2,467,362 1,233,681 3,701,044 1,850,522 925,261 2,775,784 1,387,892 693,946 346,973 1,040,920 520,460 260,230 130,115 390,346 195,173 585,520 292,760 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148

More profiles

← Previous Integer #4,934,723 Browse Full Index Next Integer #4,934,725 →