λ
Harmonic Matrix

9,760,585

5 × 19 × 127 × 809
Deficient Odd Composite

9,760,585 has digital root 4. The neighboring primes are 9760577 and 9760591; its proper-divisor sum differs from the starting integer by -7,079,570.

Prime Factor Structure

Factorization String 5 × 19 × 127 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,441,600
Proper Divisor Sum 2,681,015
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9760577 ← → #9760591

Radix Representation

Decimal 9760585
Binary 100101001110111101001001 (24 bits)
Octal 0o45167511
Hexadecimal 0x94EF49

Divisor Catalog (16)

1 5 19 95 127 635 809 2,413 4,045 12,065 15,371 76,855 102,743 513,715 1,952,117 9,760,585

Collatz Trajectory (220 steps to reach 1)

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

9,760,585 29,281,756 14,640,878 7,320,439 21,961,318 10,980,659 32,941,978 16,470,989 49,412,968 24,706,484 12,353,242 6,176,621 18,529,864 9,264,932 4,632,466 2,316,233 6,948,700 3,474,350 1,737,175 5,211,526 2,605,763 7,817,290 3,908,645 11,725,936 5,862,968 2,931,484 1,465,742 732,871 2,198,614 1,099,307 3,297,922 1,648,961 4,946,884 2,473,442 1,236,721 3,710,164 1,855,082 927,541 2,782,624 1,391,312 695,656 347,828 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910

More profiles

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