72,509

31 × 2339

For 72,509, the 4 positive divisors have a total of 74,880. Removing 72,509 leaves 2,371, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 2339

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 74,880

Proper Divisor Sum 2,371

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #72503 ← → #72533

Radix Representation

Decimal	72509
Binary	10001101100111101 (17 bits)
Octal	0o215475
Hexadecimal	0x11B3D

Divisor Catalog (4)

1 31 2,339 72,509

Collatz Trajectory (94 steps to reach 1)

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

72,509 217,528 108,764 54,382 27,191 81,574 40,787 122,362 61,181 183,544 91,772 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461

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