λ
Prime Ledger

2,439,792

24 × 32 × 16943
Abundant Even Composite

2,439,792 has the prime decomposition 2^4 × 3^2 × 16943. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 16943
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 6,828,432
Proper Divisor Sum 4,388,640
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2439791 ← → #2439803

Radix Representation

Decimal 2439792
Binary 1001010011101001110000 (22 bits)
Octal 0o11235160
Hexadecimal 0x253A70

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 16,943 33,886 50,829 67,772 101,658 135,544 152,487 203,316 271,088 304,974 406,632 609,948 813,264 1,219,896 2,439,792

Collatz Trajectory (161 steps to reach 1)

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

2,439,792 1,219,896 609,948 304,974 152,487 457,462 228,731 686,194 343,097 1,029,292 514,646 257,323 771,970 385,985 1,157,956 578,978 289,489 868,468 434,234 217,117 651,352 325,676 162,838 81,419 244,258 122,129 366,388 183,194 91,597 274,792 137,396 68,698 34,349 103,048 51,524 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430

More profiles

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