27,440,471

107 × 317 × 809

27,440,471 factors as 107 × 317 × 809. Its 8 positive divisors give a proper-divisor sum of 378,169, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 107 × 317 × 809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 27,818,640

Proper Divisor Sum 378,169

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #27440461 ← → #27440513

Radix Representation

Decimal	27440471
Binary	1101000101011010101010111 (25 bits)
Octal	0o150532527
Hexadecimal	0x1A2B557

Divisor Catalog (8)

1 107 317 809 33,919 86,563 256,453 27,440,471

Collatz Trajectory (237 steps to reach 1)

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

27,440,471 82,321,414 41,160,707 123,482,122 61,741,061 185,223,184 92,611,592 46,305,796 23,152,898 11,576,449 34,729,348 17,364,674 8,682,337 26,047,012 13,023,506 6,511,753 19,535,260 9,767,630 4,883,815 14,651,446 7,325,723 21,977,170 10,988,585 32,965,756 16,482,878 8,241,439 24,724,318 12,362,159 37,086,478 18,543,239 55,629,718 27,814,859 83,444,578 41,722,289 125,166,868 62,583,434 31,291,717 93,875,152 46,937,576 23,468,788 11,734,394 5,867,197 17,601,592 8,800,796 4,400,398 2,200,199 6,600,598 3,300,299 9,900,898 4,950,449 14,851,348 7,425,674 3,712,837 11,138,512 5,569,256 2,784,628 1,392,314 696,157 2,088,472 1,044,236

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