λ
Harmonic Matrix

9,025,037

7 × 991 × 1301
Deficient Odd Composite

9,025,037 has digital root 8. The neighboring primes are 9025031 and 9025073; its proper-divisor sum differs from the starting integer by -7,717,402.

Prime Factor Structure

Factorization String 7 × 991 × 1301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,332,672
Proper Divisor Sum 1,307,635
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9025031 ← → #9025073

Radix Representation

Decimal 9025037
Binary 100010011011011000001101 (24 bits)
Octal 0o42333015
Hexadecimal 0x89B60D

Divisor Catalog (8)

1 7 991 1,301 6,937 9,107 1,289,291 9,025,037

Collatz Trajectory (62 steps to reach 1)

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

9,025,037 27,075,112 13,537,556 6,768,778 3,384,389 10,153,168 5,076,584 2,538,292 1,269,146 634,573 1,903,720 951,860 475,930 237,965 713,896 356,948 178,474 89,237 267,712 133,856 66,928 33,464 16,732 8,366 4,183 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

More profiles

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