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Atlas › Integer Profiles › Node 55,838,752

55,838,752

25 × 619 × 2819
Deficient Even Composite

55,838,752 factors as 2^5 × 619 × 2819. Its 24 positive divisors give a proper-divisor sum of 54,310,448, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 619 × 2819
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 110,149,200
Proper Divisor Sum 54,310,448
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #55838749 ← → #55838753

Radix Representation

Decimal 55838752
Binary 11010101000000100000100000 (26 bits)
Octal 0o325004040
Hexadecimal 0x3540820

Divisor Catalog (24)

1 2 4 8 16 32 619 1,238 2,476 2,819 4,952 5,638 9,904 11,276 19,808 22,552 45,104 90,208 1,744,961 3,489,922 6,979,844 13,959,688 27,919,376 55,838,752

Collatz Trajectory (101 steps to reach 1)

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

55,838,752 27,919,376 13,959,688 6,979,844 3,489,922 1,744,961 5,234,884 2,617,442 1,308,721 3,926,164 1,963,082 981,541 2,944,624 1,472,312 736,156 368,078 184,039 552,118 276,059 828,178 414,089 1,242,268 621,134 310,567 931,702 465,851 1,397,554 698,777 2,096,332 1,048,166 524,083 1,572,250 786,125 2,358,376 1,179,188 589,594 294,797 884,392 442,196 221,098 110,549 331,648 165,824 82,912 41,456 20,728 10,364 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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