λ
Prime Ledger

3,048,767

3048767
Deficient Odd Prime

3,048,767 has the prime decomposition 3048767. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 3048767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,048,768
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3048761 ← → #3048769

Radix Representation

Decimal 3048767
Binary 1011101000010100111111 (22 bits)
Octal 0o13502477
Hexadecimal 0x2E853F

Divisor Catalog (2)

1 3,048,767

Collatz Trajectory (257 steps to reach 1)

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

3,048,767 9,146,302 4,573,151 13,719,454 6,859,727 20,579,182 10,289,591 30,868,774 15,434,387 46,303,162 23,151,581 69,454,744 34,727,372 17,363,686 8,681,843 26,045,530 13,022,765 39,068,296 19,534,148 9,767,074 4,883,537 14,650,612 7,325,306 3,662,653 10,987,960 5,493,980 2,746,990 1,373,495 4,120,486 2,060,243 6,180,730 3,090,365 9,271,096 4,635,548 2,317,774 1,158,887 3,476,662 1,738,331 5,214,994 2,607,497 7,822,492 3,911,246 1,955,623 5,866,870 2,933,435 8,800,306 4,400,153 13,200,460 6,600,230 3,300,115 9,900,346 4,950,173 14,850,520 7,425,260 3,712,630 1,856,315 5,568,946 2,784,473 8,353,420 4,176,710

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