λ
Harmonic Matrix

9,080,048

24 × 71 × 7993
Deficient Even Composite

9,080,048 has digital root 2. The neighboring primes are 9080039 and 9080069; its proper-divisor sum differs from the starting integer by -317,488.

Prime Factor Structure

Factorization String 2^4 × 71 × 7993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,842,608
Proper Divisor Sum 8,762,560
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9080039 ← → #9080069

Radix Representation

Decimal 9080048
Binary 100010101000110011110000 (24 bits)
Octal 0o42506360
Hexadecimal 0x8A8CF0

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 7,993 15,986 31,972 63,944 127,888 567,503 1,135,006 2,270,012 4,540,024 9,080,048

Collatz Trajectory (88 steps to reach 1)

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

9,080,048 4,540,024 2,270,012 1,135,006 567,503 1,702,510 851,255 2,553,766 1,276,883 3,830,650 1,915,325 5,745,976 2,872,988 1,436,494 718,247 2,154,742 1,077,371 3,232,114 1,616,057 4,848,172 2,424,086 1,212,043 3,636,130 1,818,065 5,454,196 2,727,098 1,363,549 4,090,648 2,045,324 1,022,662 511,331 1,533,994 766,997 2,300,992 1,150,496 575,248 287,624 143,812 71,906 35,953 107,860 53,930 26,965 80,896 40,448 20,224 10,112 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269

More profiles

← Previous Integer #9,080,047 Browse Full Index Next Integer #9,080,049 →