λ
Ratio Atlas

55,872,575

52 × 11 × 203173
Deficient Odd Composite

55,872,575 factors as 5^2 × 11 × 203173. Its 12 positive divisors give a proper-divisor sum of 19,708,153, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 203173
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 75,580,728
Proper Divisor Sum 19,708,153
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #55872563 ← → #55872577

Radix Representation

Decimal 55872575
Binary 11010101001000110000111111 (26 bits)
Octal 0o325106077
Hexadecimal 0x3548C3F

Divisor Catalog (12)

Collatz Trajectory (256 steps to reach 1)

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

55,872,575 167,617,726 83,808,863 251,426,590 125,713,295 377,139,886 188,569,943 565,709,830 282,854,915 848,564,746 424,282,373 1,272,847,120 636,423,560 318,211,780 159,105,890 79,552,945 238,658,836 119,329,418 59,664,709 178,994,128 89,497,064 44,748,532 22,374,266 11,187,133 33,561,400 16,780,700 8,390,350 4,195,175 12,585,526 6,292,763 18,878,290 9,439,145 28,317,436 14,158,718 7,079,359 21,238,078 10,619,039 31,857,118 15,928,559 47,785,678 23,892,839 71,678,518 35,839,259 107,517,778 53,758,889 161,276,668 80,638,334 40,319,167 120,957,502 60,478,751 181,436,254 90,718,127 272,154,382 136,077,191 408,231,574 204,115,787 612,347,362 306,173,681 918,521,044 459,260,522

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