λ
Sigma Notebook

720,215

5 × 29 × 4967
Deficient Odd Composite

720,215 is odd and not a perfect square. Its factorization is 5 × 29 × 4967 and its 8 divisors sum to 894,240.

Prime Factor Structure

Factorization String 5 × 29 × 4967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 894,240
Proper Divisor Sum 174,025
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #720211 ← → #720221

Radix Representation

Decimal 720215
Binary 10101111110101010111 (20 bits)
Octal 0o2576527
Hexadecimal 0xAFD57

Divisor Catalog (8)

1 5 29 145 4,967 24,835 144,043 720,215

Collatz Trajectory (92 steps to reach 1)

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

720,215 2,160,646 1,080,323 3,240,970 1,620,485 4,861,456 2,430,728 1,215,364 607,682 303,841 911,524 455,762 227,881 683,644 341,822 170,911 512,734 256,367 769,102 384,551 1,153,654 576,827 1,730,482 865,241 2,595,724 1,297,862 648,931 1,946,794 973,397 2,920,192 1,460,096 730,048 365,024 182,512 91,256 45,628 22,814 11,407 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570

More profiles

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