λ
Harmonic Matrix

9,477,523

11 × 19 × 137 × 331
Deficient Odd Composite

9,477,523 has digital root 1. The neighboring primes are 9477491 and 9477527; its proper-divisor sum differs from the starting integer by -7,959,206.

Prime Factor Structure

Factorization String 11 × 19 × 137 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,995,840
Proper Divisor Sum 1,518,317
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9477491 ← → #9477527

Radix Representation

Decimal 9477523
Binary 100100001001110110010011 (24 bits)
Octal 0o44116623
Hexadecimal 0x909D93

Divisor Catalog (16)

1 11 19 137 209 331 1,507 2,603 3,641 6,289 28,633 45,347 69,179 498,817 861,593 9,477,523

Collatz Trajectory (194 steps to reach 1)

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

9,477,523 28,432,570 14,216,285 42,648,856 21,324,428 10,662,214 5,331,107 15,993,322 7,996,661 23,989,984 11,994,992 5,997,496 2,998,748 1,499,374 749,687 2,249,062 1,124,531 3,373,594 1,686,797 5,060,392 2,530,196 1,265,098 632,549 1,897,648 948,824 474,412 237,206 118,603 355,810 177,905 533,716 266,858 133,429 400,288 200,144 100,072 50,036 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024

More profiles

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