710,721

3³ × 11 × 2393

For 710,721, the 16 positive divisors have a total of 1,149,120. Removing 710,721 leaves 438,399, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 11 × 2393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,149,120

Proper Divisor Sum 438,399

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #710713 ← → #710777

Radix Representation

Decimal	710721
Binary	10101101100001000001 (20 bits)
Octal	0o2554101
Hexadecimal	0xAD841

Divisor Catalog (16)

1 3 9 11 27 33 99 297 2,393 7,179 21,537 26,323 64,611 78,969 236,907 710,721

Collatz Trajectory (211 steps to reach 1)

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

710,721 2,132,164 1,066,082 533,041 1,599,124 799,562 399,781 1,199,344 599,672 299,836 149,918 74,959 224,878 112,439 337,318 168,659 505,978 252,989 758,968 379,484 189,742 94,871 284,614 142,307 426,922 213,461 640,384 320,192 160,096 80,048 40,024 20,012 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511

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