λ
Prime Ledger

2,784,329

2784329
Deficient Odd Prime

2,784,329 has the prime decomposition 2784329. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2784329
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,784,330
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2784307 ← → #2784337

Radix Representation

Decimal 2784329
Binary 1010100111110001001001 (22 bits)
Octal 0o12476111
Hexadecimal 0x2A7C49

Divisor Catalog (2)

Collatz Trajectory (182 steps to reach 1)

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

2,784,329 8,352,988 4,176,494 2,088,247 6,264,742 3,132,371 9,397,114 4,698,557 14,095,672 7,047,836 3,523,918 1,761,959 5,285,878 2,642,939 7,928,818 3,964,409 11,893,228 5,946,614 2,973,307 8,919,922 4,459,961 13,379,884 6,689,942 3,344,971 10,034,914 5,017,457 15,052,372 7,526,186 3,763,093 11,289,280 5,644,640 2,822,320 1,411,160 705,580 352,790 176,395 529,186 264,593 793,780 396,890 198,445 595,336 297,668 148,834 74,417 223,252 111,626 55,813 167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662

More profiles

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