λ
Ratio Atlas

47,561,371

11 × 13 × 349 × 953
Deficient Odd Composite

47,561,371 factors as 11 × 13 × 349 × 953. Its 16 positive divisors give a proper-divisor sum of 8,533,829, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 11 × 13 × 349 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 56,095,200
Proper Divisor Sum 8,533,829
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #47561369 ← → #47561377

Radix Representation

Decimal 47561371
Binary 10110101011011101010011011 (26 bits)
Octal 0o265335233
Hexadecimal 0x2D5BA9B

Divisor Catalog (16)

Collatz Trajectory (124 steps to reach 1)

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

47,561,371 142,684,114 71,342,057 214,026,172 107,013,086 53,506,543 160,519,630 80,259,815 240,779,446 120,389,723 361,169,170 180,584,585 541,753,756 270,876,878 135,438,439 406,315,318 203,157,659 609,472,978 304,736,489 914,209,468 457,104,734 228,552,367 685,657,102 342,828,551 1,028,485,654 514,242,827 1,542,728,482 771,364,241 2,314,092,724 1,157,046,362 578,523,181 1,735,569,544 867,784,772 433,892,386 216,946,193 650,838,580 325,419,290 162,709,645 488,128,936 244,064,468 122,032,234 61,016,117 183,048,352 91,524,176 45,762,088 22,881,044 11,440,522 5,720,261 17,160,784 8,580,392 4,290,196 2,145,098 1,072,549 3,217,648 1,608,824 804,412 402,206 201,103 603,310 301,655

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