λ
Harmonic Matrix

4,670,748

22 × 32 × 23 × 5641
Abundant Even Composite

4,670,748 has digital root 9. The neighboring primes are 4670737 and 4670749; its proper-divisor sum differs from the starting integer by 2,980,632.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 5641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,322,128
Proper Divisor Sum 7,651,380
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4670737 ← → #4670749

Radix Representation

Decimal 4670748
Binary 10001110100010100011100 (23 bits)
Octal 0o21642434
Hexadecimal 0x47451C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 5,641 11,282 16,923 22,564 33,846 50,769 67,692 101,538 129,743 203,076 259,486 389,229 518,972 778,458 1,167,687 1,556,916 2,335,374 4,670,748

Collatz Trajectory (193 steps to reach 1)

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

4,670,748 2,335,374 1,167,687 3,503,062 1,751,531 5,254,594 2,627,297 7,881,892 3,940,946 1,970,473 5,911,420 2,955,710 1,477,855 4,433,566 2,216,783 6,650,350 3,325,175 9,975,526 4,987,763 14,963,290 7,481,645 22,444,936 11,222,468 5,611,234 2,805,617 8,416,852 4,208,426 2,104,213 6,312,640 3,156,320 1,578,160 789,080 394,540 197,270 98,635 295,906 147,953 443,860 221,930 110,965 332,896 166,448 83,224 41,612 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940

More profiles

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