λ
Harmonic Matrix

9,480,675

3 × 52 × 83 × 1523
Deficient Odd Composite

9,480,675 has digital root 3. The neighboring primes are 9480673 and 9480689; its proper-divisor sum differs from the starting integer by -3,087,366.

Prime Factor Structure

Factorization String 3 × 5^2 × 83 × 1523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,873,984
Proper Divisor Sum 6,393,309
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9480673 ← → #9480689

Radix Representation

Decimal 9480675
Binary 100100001010100111100011 (24 bits)
Octal 0o44124743
Hexadecimal 0x90A9E3

Divisor Catalog (24)

1 3 5 15 25 75 83 249 415 1,245 1,523 2,075 4,569 6,225 7,615 22,845 38,075 114,225 126,409 379,227 632,045 1,896,135 3,160,225 9,480,675

Collatz Trajectory (124 steps to reach 1)

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

9,480,675 28,442,026 14,221,013 42,663,040 21,331,520 10,665,760 5,332,880 2,666,440 1,333,220 666,610 333,305 999,916 499,958 249,979 749,938 374,969 1,124,908 562,454 281,227 843,682 421,841 1,265,524 632,762 316,381 949,144 474,572 237,286 118,643 355,930 177,965 533,896 266,948 133,474 66,737 200,212 100,106 50,053 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189 240,568 120,284 60,142

More profiles

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