λ
Harmonic Matrix

9,572,392

23 × 937 × 1277
Deficient Even Composite

9,572,392 has digital root 1. The neighboring primes are 9572389 and 9572399; its proper-divisor sum differs from the starting integer by -1,163,324.

Prime Factor Structure

Factorization String 2^3 × 937 × 1277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,981,460
Proper Divisor Sum 8,409,068
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9572389 ← → #9572399

Radix Representation

Decimal 9572392
Binary 100100100001000000101000 (24 bits)
Octal 0o44410050
Hexadecimal 0x921028

Divisor Catalog (16)

1 2 4 8 937 1,277 1,874 2,554 3,748 5,108 7,496 10,216 1,196,549 2,393,098 4,786,196 9,572,392

Collatz Trajectory (101 steps to reach 1)

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

9,572,392 4,786,196 2,393,098 1,196,549 3,589,648 1,794,824 897,412 448,706 224,353 673,060 336,530 168,265 504,796 252,398 126,199 378,598 189,299 567,898 283,949 851,848 425,924 212,962 106,481 319,444 159,722 79,861 239,584 119,792 59,896 29,948 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687

More profiles

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