λ
Harmonic Matrix

2,384,017

2384017
Deficient Odd Prime

2,384,017 has digital root 7. The neighboring primes are 2383999 and 2384023; its proper-divisor sum differs from the starting integer by -2,384,016.

Prime Factor Structure

Factorization String 2384017
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,384,018
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2383999 ← → #2384023

Radix Representation

Decimal 2384017
Binary 1001000110000010010001 (22 bits)
Octal 0o11060221
Hexadecimal 0x246091

Divisor Catalog (2)

Collatz Trajectory (148 steps to reach 1)

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

2,384,017 7,152,052 3,576,026 1,788,013 5,364,040 2,682,020 1,341,010 670,505 2,011,516 1,005,758 502,879 1,508,638 754,319 2,262,958 1,131,479 3,394,438 1,697,219 5,091,658 2,545,829 7,637,488 3,818,744 1,909,372 954,686 477,343 1,432,030 716,015 2,148,046 1,074,023 3,222,070 1,611,035 4,833,106 2,416,553 7,249,660 3,624,830 1,812,415 5,437,246 2,718,623 8,155,870 4,077,935 12,233,806 6,116,903 18,350,710 9,175,355 27,526,066 13,763,033 41,289,100 20,644,550 10,322,275 30,966,826 15,483,413 46,450,240 23,225,120 11,612,560 5,806,280 2,903,140 1,451,570 725,785 2,177,356 1,088,678 544,339

More profiles

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