λ
Harmonic Matrix

9,401,720

23 × 5 × 235043
Abundant Even Composite

9,401,720 has digital root 5. The neighboring primes are 9401701 and 9401753; its proper-divisor sum differs from the starting integer by 2,350,520.

Prime Factor Structure

Factorization String 2^3 × 5 × 235043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,153,960
Proper Divisor Sum 11,752,240
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9401701 ← → #9401753

Radix Representation

Decimal 9401720
Binary 100011110111010101111000 (24 bits)
Octal 0o43672570
Hexadecimal 0x8F7578

Divisor Catalog (16)

1 2 4 5 8 10 20 40 235,043 470,086 940,172 1,175,215 1,880,344 2,350,430 4,700,860 9,401,720

Collatz Trajectory (132 steps to reach 1)

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

9,401,720 4,700,860 2,350,430 1,175,215 3,525,646 1,762,823 5,288,470 2,644,235 7,932,706 3,966,353 11,899,060 5,949,530 2,974,765 8,924,296 4,462,148 2,231,074 1,115,537 3,346,612 1,673,306 836,653 2,509,960 1,254,980 627,490 313,745 941,236 470,618 235,309 705,928 352,964 176,482 88,241 264,724 132,362 66,181 198,544 99,272 49,636 24,818 12,409 37,228 18,614 9,307 27,922 13,961 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642

More profiles

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