712,004

2² × 178001

For 712,004, the 6 positive divisors have a total of 1,246,014. Removing 712,004 leaves 534,010, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 178001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,246,014

Proper Divisor Sum 534,010

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #711983 ← → #712007

Radix Representation

Decimal	712004
Binary	10101101110101000100 (20 bits)
Octal	0o2556504
Hexadecimal	0xADD44

Divisor Catalog (6)

1 2 4 178,001 356,002 712,004

Collatz Trajectory (123 steps to reach 1)

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

712,004 356,002 178,001 534,004 267,002 133,501 400,504 200,252 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754

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