λ
Prime Ledger

736,541

13 × 53 × 1069
Deficient Odd Composite

736,541 has the prime decomposition 13 × 53 × 1069. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 53 × 1069
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 808,920
Proper Divisor Sum 72,379
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #736511 ← → #736577

Radix Representation

Decimal 736541
Binary 10110011110100011101 (20 bits)
Octal 0o2636435
Hexadecimal 0xB3D1D

Divisor Catalog (8)

1 13 53 689 1,069 13,897 56,657 736,541

Collatz Trajectory (74 steps to reach 1)

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

736,541 2,209,624 1,104,812 552,406 276,203 828,610 414,305 1,242,916 621,458 310,729 932,188 466,094 233,047 699,142 349,571 1,048,714 524,357 1,573,072 786,536 393,268 196,634 98,317 294,952 147,476 73,738 36,869 110,608 55,304 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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