27,303,004

2² × 137 × 49823

27,303,004 factors as 2^2 × 137 × 49823. Its 12 positive divisors give a proper-divisor sum of 20,826,980, so this integer is deficient. The Collatz stopping time is 361 steps.

Prime Factor Structure

Factorization String 2^2 × 137 × 49823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,129,984

Proper Divisor Sum 20,826,980

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #27302993 ← → #27303013

Radix Representation

Decimal	27303004
Binary	1101000001001110001011100 (25 bits)
Octal	0o150116134
Hexadecimal	0x1A09C5C

Divisor Catalog (12)

1 2 4 137 274 548 49,823 99,646 199,292 6,825,751 13,651,502 27,303,004

Collatz Trajectory (361 steps to reach 1)

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

27,303,004 13,651,502 6,825,751 20,477,254 10,238,627 30,715,882 15,357,941 46,073,824 23,036,912 11,518,456 5,759,228 2,879,614 1,439,807 4,319,422 2,159,711 6,479,134 3,239,567 9,718,702 4,859,351 14,578,054 7,289,027 21,867,082 10,933,541 32,800,624 16,400,312 8,200,156 4,100,078 2,050,039 6,150,118 3,075,059 9,225,178 4,612,589 13,837,768 6,918,884 3,459,442 1,729,721 5,189,164 2,594,582 1,297,291 3,891,874 1,945,937 5,837,812 2,918,906 1,459,453 4,378,360 2,189,180 1,094,590 547,295 1,641,886 820,943 2,462,830 1,231,415 3,694,246 1,847,123 5,541,370 2,770,685 8,312,056 4,156,028 2,078,014 1,039,007

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