λ
Prime Ledger

2,506,148

22 × 233 × 2689
Deficient Even Composite

2,506,148 has the prime decomposition 2^2 × 233 × 2689. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 233 × 2689
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,406,220
Proper Divisor Sum 1,900,072
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2506129 ← → #2506183

Radix Representation

Decimal 2506148
Binary 1001100011110110100100 (22 bits)
Octal 0o11436644
Hexadecimal 0x263DA4

Divisor Catalog (12)

1 2 4 233 466 932 2,689 5,378 10,756 626,537 1,253,074 2,506,148

Collatz Trajectory (81 steps to reach 1)

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

2,506,148 1,253,074 626,537 1,879,612 939,806 469,903 1,409,710 704,855 2,114,566 1,057,283 3,171,850 1,585,925 4,757,776 2,378,888 1,189,444 594,722 297,361 892,084 446,042 223,021 669,064 334,532 167,266 83,633 250,900 125,450 62,725 188,176 94,088 47,044 23,522 11,761 35,284 17,642 8,821 26,464 13,232 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

More profiles

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