λ
Modular Archive

716,013

33 × 23 × 1153
Deficient Odd Composite

The decimal integer 716,013 is 10101110110011101101 in binary (20 bits), 2566355 in octal and AECED in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^3 × 23 × 1153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,107,840
Proper Divisor Sum 391,827
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #716003 ← → #716033

Radix Representation

Decimal 716013
Binary 10101110110011101101 (20 bits)
Octal 0o2566355
Hexadecimal 0xAECED

Divisor Catalog (16)

1 3 9 23 27 69 207 621 1,153 3,459 10,377 26,519 31,131 79,557 238,671 716,013

Collatz Trajectory (123 steps to reach 1)

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

716,013 2,148,040 1,074,020 537,010 268,505 805,516 402,758 201,379 604,138 302,069 906,208 453,104 226,552 113,276 56,638 28,319 84,958 42,479 127,438 63,719 191,158 95,579 286,738 143,369 430,108 215,054 107,527 322,582 161,291 483,874 241,937 725,812 362,906 181,453 544,360 272,180 136,090 68,045 204,136 102,068 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256

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