λ
Harmonic Matrix

9,070,064

24 × 566879
Deficient Even Composite

9,070,064 has digital root 8. The neighboring primes are 9070063 and 9070067; its proper-divisor sum differs from the starting integer by -566,848.

Prime Factor Structure

Factorization String 2^4 × 566879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 17,573,280
Proper Divisor Sum 8,503,216
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9070063 ← → #9070067

Radix Representation

Decimal 9070064
Binary 100010100110010111110000 (24 bits)
Octal 0o42462760
Hexadecimal 0x8A65F0

Divisor Catalog (10)

1 2 4 8 16 566,879 1,133,758 2,267,516 4,535,032 9,070,064

Collatz Trajectory (132 steps to reach 1)

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

9,070,064 4,535,032 2,267,516 1,133,758 566,879 1,700,638 850,319 2,550,958 1,275,479 3,826,438 1,913,219 5,739,658 2,869,829 8,609,488 4,304,744 2,152,372 1,076,186 538,093 1,614,280 807,140 403,570 201,785 605,356 302,678 151,339 454,018 227,009 681,028 340,514 170,257 510,772 255,386 127,693 383,080 191,540 95,770 47,885 143,656 71,828 35,914 17,957 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592

More profiles

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