27,402,961

53 × 191 × 2707

27,402,961 factors as 53 × 191 × 2707. Its 8 positive divisors give a proper-divisor sum of 673,583, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 53 × 191 × 2707

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 28,076,544

Proper Divisor Sum 673,583

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27402901 ← → #27402971

Radix Representation

Decimal	27402961
Binary	1101000100010001011010001 (25 bits)
Octal	0o150421321
Hexadecimal	0x1A222D1

Divisor Catalog (8)

1 53 191 2,707 10,123 143,471 517,037 27,402,961

Collatz Trajectory (224 steps to reach 1)

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

27,402,961 82,208,884 41,104,442 20,552,221 61,656,664 30,828,332 15,414,166 7,707,083 23,121,250 11,560,625 34,681,876 17,340,938 8,670,469 26,011,408 13,005,704 6,502,852 3,251,426 1,625,713 4,877,140 2,438,570 1,219,285 3,657,856 1,828,928 914,464 457,232 228,616 114,308 57,154 28,577 85,732 42,866 21,433 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978

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