λ
Prime Ledger

2,761,328

24 × 172583
Deficient Even Composite

2,761,328 has the prime decomposition 2^4 × 172583. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 172583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 5,350,104
Proper Divisor Sum 2,588,776
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2761307 ← → #2761333

Radix Representation

Decimal 2761328
Binary 1010100010001001110000 (22 bits)
Octal 0o12421160
Hexadecimal 0x2A2270

Divisor Catalog (10)

1 2 4 8 16 172,583 345,166 690,332 1,380,664 2,761,328

Collatz Trajectory (200 steps to reach 1)

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

2,761,328 1,380,664 690,332 345,166 172,583 517,750 258,875 776,626 388,313 1,164,940 582,470 291,235 873,706 436,853 1,310,560 655,280 327,640 163,820 81,910 40,955 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487

More profiles

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