λ
Harmonic Matrix

9,624,849

3 × 13 × 19 × 31 × 419
Deficient Odd Composite

9,624,849 has digital root 6. The neighboring primes are 9624841 and 9624859; its proper-divisor sum differs from the starting integer by -4,196,898.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 31 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,052,800
Proper Divisor Sum 5,427,951
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9624841 ← → #9624859

Radix Representation

Decimal 9624849
Binary 100100101101110100010001 (24 bits)
Octal 0o44556421
Hexadecimal 0x92DD11

Divisor Catalog (32)

1 3 13 19 31 39 57 93 247 403 419 589 741 1,209 1,257 1,767 5,447 7,657 7,961 12,989 16,341 22,971 23,883 38,967 103,493 168,857 246,791 310,479 506,571 740,373 3,208,283 9,624,849

Collatz Trajectory (238 steps to reach 1)

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

9,624,849 28,874,548 14,437,274 7,218,637 21,655,912 10,827,956 5,413,978 2,706,989 8,120,968 4,060,484 2,030,242 1,015,121 3,045,364 1,522,682 761,341 2,284,024 1,142,012 571,006 285,503 856,510 428,255 1,284,766 642,383 1,927,150 963,575 2,890,726 1,445,363 4,336,090 2,168,045 6,504,136 3,252,068 1,626,034 813,017 2,439,052 1,219,526 609,763 1,829,290 914,645 2,743,936 1,371,968 685,984 342,992 171,496 85,748 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054

More profiles

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