λ
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Atlas › Integer Profiles › Node 57,714,840

57,714,840

23 × 32 × 5 × 160319
Abundant Even Composite

57,714,840 factors as 2^3 × 3^2 × 5 × 160319. Its 48 positive divisors give a proper-divisor sum of 129,859,560, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 160319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 187,574,400
Proper Divisor Sum 129,859,560
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57714829 ← → #57714841

Radix Representation

Decimal 57714840
Binary 11011100001010100010011000 (26 bits)
Octal 0o334124230
Hexadecimal 0x370A898

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 160,319 320,638 480,957 641,276 801,595 961,914 1,282,552 1,442,871 1,603,190 1,923,828 2,404,785 2,885,742 3,206,380 3,847,656 4,809,570 5,771,484 6,412,760 7,214,355 9,619,140 11,542,968 14,428,710 19,238,280 28,857,420 57,714,840

Collatz Trajectory (282 steps to reach 1)

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

57,714,840 28,857,420 14,428,710 7,214,355 21,643,066 10,821,533 32,464,600 16,232,300 8,116,150 4,058,075 12,174,226 6,087,113 18,261,340 9,130,670 4,565,335 13,696,006 6,848,003 20,544,010 10,272,005 30,816,016 15,408,008 7,704,004 3,852,002 1,926,001 5,778,004 2,889,002 1,444,501 4,333,504 2,166,752 1,083,376 541,688 270,844 135,422 67,711 203,134 101,567 304,702 152,351 457,054 228,527 685,582 342,791 1,028,374 514,187 1,542,562 771,281 2,313,844 1,156,922 578,461 1,735,384 867,692 433,846 216,923 650,770 325,385 976,156 488,078 244,039 732,118 366,059

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