λ
Harmonic Matrix

9,388,261

19 × 53 × 9323
Deficient Odd Composite

9,388,261 has digital root 1. The neighboring primes are 9388243 and 9388271; its proper-divisor sum differs from the starting integer by -8,706,602.

Prime Factor Structure

Factorization String 19 × 53 × 9323
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,069,920
Proper Divisor Sum 681,659
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9388243 ← → #9388271

Radix Representation

Decimal 9388261
Binary 100011110100000011100101 (24 bits)
Octal 0o43640345
Hexadecimal 0x8F40E5

Divisor Catalog (8)

1 19 53 1,007 9,323 177,137 494,119 9,388,261

Collatz Trajectory (101 steps to reach 1)

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

9,388,261 28,164,784 14,082,392 7,041,196 3,520,598 1,760,299 5,280,898 2,640,449 7,921,348 3,960,674 1,980,337 5,941,012 2,970,506 1,485,253 4,455,760 2,227,880 1,113,940 556,970 278,485 835,456 417,728 208,864 104,432 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655

More profiles

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