λ
Prime Ledger

2,428,012

22 × 607003
Deficient Even Composite

2,428,012 has the prime decomposition 2^2 × 607003. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 607003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,249,028
Proper Divisor Sum 1,821,016
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2428003 ← → #2428021

Radix Representation

Decimal 2428012
Binary 1001010000110001101100 (22 bits)
Octal 0o11206154
Hexadecimal 0x250C6C

Divisor Catalog (6)

1 2 4 607,003 1,214,006 2,428,012

Collatz Trajectory (223 steps to reach 1)

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

2,428,012 1,214,006 607,003 1,821,010 910,505 2,731,516 1,365,758 682,879 2,048,638 1,024,319 3,072,958 1,536,479 4,609,438 2,304,719 6,914,158 3,457,079 10,371,238 5,185,619 15,556,858 7,778,429 23,335,288 11,667,644 5,833,822 2,916,911 8,750,734 4,375,367 13,126,102 6,563,051 19,689,154 9,844,577 29,533,732 14,766,866 7,383,433 22,150,300 11,075,150 5,537,575 16,612,726 8,306,363 24,919,090 12,459,545 37,378,636 18,689,318 9,344,659 28,033,978 14,016,989 42,050,968 21,025,484 10,512,742 5,256,371 15,769,114 7,884,557 23,653,672 11,826,836 5,913,418 2,956,709 8,870,128 4,435,064 2,217,532 1,108,766 554,383

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