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Atlas › Integer Profiles › Node 61,327,154

61,327,154

2 × 7 × 23 × 73 × 2609
Deficient Even Composite

61,327,154 factors as 2 × 7 × 23 × 73 × 2609. Its 32 positive divisors give a proper-divisor sum of 49,921,486, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 73 × 2609
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,248,640
Proper Divisor Sum 49,921,486
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #61327121 ← → #61327163

Radix Representation

Decimal 61327154
Binary 11101001111100011100110010 (26 bits)
Octal 0o351743462
Hexadecimal 0x3A7C732

Divisor Catalog (32)

1 2 7 14 23 46 73 146 161 322 511 1,022 1,679 2,609 3,358 5,218 11,753 18,263 23,506 36,526 60,007 120,014 190,457 380,914 420,049 840,098 1,333,199 2,666,398 4,380,511 8,761,022 30,663,577 61,327,154

Collatz Trajectory (220 steps to reach 1)

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

61,327,154 30,663,577 91,990,732 45,995,366 22,997,683 68,993,050 34,496,525 103,489,576 51,744,788 25,872,394 12,936,197 38,808,592 19,404,296 9,702,148 4,851,074 2,425,537 7,276,612 3,638,306 1,819,153 5,457,460 2,728,730 1,364,365 4,093,096 2,046,548 1,023,274 511,637 1,534,912 767,456 383,728 191,864 95,932 47,966 23,983 71,950 35,975 107,926 53,963 161,890 80,945 242,836 121,418 60,709 182,128 91,064 45,532 22,766 11,383 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801

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