λ
Harmonic Matrix

8,494,749

32 × 41 × 23021
Deficient Odd Composite

8,494,749 has digital root 9. The neighboring primes are 8494727 and 8494753; its proper-divisor sum differs from the starting integer by -4,419,486.

Prime Factor Structure

Factorization String 3^2 × 41 × 23021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,570,012
Proper Divisor Sum 4,075,263
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8494727 ← → #8494753

Radix Representation

Decimal 8494749
Binary 100000011001111010011101 (24 bits)
Octal 0o40317235
Hexadecimal 0x819E9D

Divisor Catalog (12)

1 3 9 41 123 369 23,021 69,063 207,189 943,861 2,831,583 8,494,749

Collatz Trajectory (106 steps to reach 1)

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

8,494,749 25,484,248 12,742,124 6,371,062 3,185,531 9,556,594 4,778,297 14,334,892 7,167,446 3,583,723 10,751,170 5,375,585 16,126,756 8,063,378 4,031,689 12,095,068 6,047,534 3,023,767 9,071,302 4,535,651 13,606,954 6,803,477 20,410,432 10,205,216 5,102,608 2,551,304 1,275,652 637,826 318,913 956,740 478,370 239,185 717,556 358,778 179,389 538,168 269,084 134,542 67,271 201,814 100,907 302,722 151,361 454,084 227,042 113,521 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982 3,991 11,974 5,987 17,962 8,981

More profiles

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