λ
Harmonic Matrix

9,071,748

22 × 32 × 7 × 35999
Abundant Even Composite

9,071,748 has digital root 9. The neighboring primes are 9071707 and 9071767; its proper-divisor sum differs from the starting integer by 8,064,504.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 35999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,208,000
Proper Divisor Sum 17,136,252
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9071707 ← → #9071767

Radix Representation

Decimal 9071748
Binary 100010100110110010000100 (24 bits)
Octal 0o42466204
Hexadecimal 0x8A6C84

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 35,999 71,998 107,997 143,996 215,994 251,993 323,991 431,988 503,986 647,982 755,979 1,007,972 1,295,964 1,511,958 2,267,937 3,023,916 4,535,874 9,071,748

Collatz Trajectory (132 steps to reach 1)

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

9,071,748 4,535,874 2,267,937 6,803,812 3,401,906 1,700,953 5,102,860 2,551,430 1,275,715 3,827,146 1,913,573 5,740,720 2,870,360 1,435,180 717,590 358,795 1,076,386 538,193 1,614,580 807,290 403,645 1,210,936 605,468 302,734 151,367 454,102 227,051 681,154 340,577 1,021,732 510,866 255,433 766,300 383,150 191,575 574,726 287,363 862,090 431,045 1,293,136 646,568 323,284 161,642 80,821 242,464 121,232 60,616 30,308 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592

More profiles

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