λ
Prime Ledger

2,496,468

22 × 3 × 132 × 1231
Abundant Even Composite

2,496,468 has the prime decomposition 2^2 × 3 × 13^2 × 1231. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,312,768
Proper Divisor Sum 3,816,300
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2496437 ← → #2496469

Radix Representation

Decimal 2496468
Binary 1001100001011111010100 (22 bits)
Octal 0o11413724
Hexadecimal 0x2617D4

Divisor Catalog (36)

1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1,014 1,231 2,028 2,462 3,693 4,924 7,386 14,772 16,003 32,006 48,009 64,012 96,018 192,036 208,039 416,078 624,117 832,156 1,248,234 2,496,468

Collatz Trajectory (130 steps to reach 1)

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

2,496,468 1,248,234 624,117 1,872,352 936,176 468,088 234,044 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

More profiles

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