54,507

3 × 18169

54,507 factors as 3 × 18169. Its 4 positive divisors give a proper-divisor sum of 18,173, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 3 × 18169

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 72,680

Proper Divisor Sum 18,173

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #54503 ← → #54517

Radix Representation

Decimal	54507
Binary	1101010011101011 (16 bits)
Octal	0o152353
Hexadecimal	0xD4EB

Divisor Catalog (4)

1 3 18,169 54,507

Collatz Trajectory (153 steps to reach 1)

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

54,507 163,522 81,761 245,284 122,642 61,321 183,964 91,982 45,991 137,974 68,987 206,962 103,481 310,444 155,222 77,611 232,834 116,417 349,252 174,626 87,313 261,940 130,970 65,485 196,456 98,228 49,114 24,557 73,672 36,836 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075

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