λ
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Atlas › Integer Profiles › Node 63,179,428

63,179,428

22 × 13 × 431 × 2819
Deficient Even Composite

63,179,428 factors as 2^2 × 13 × 431 × 2819. Its 24 positive divisors give a proper-divisor sum of 56,208,092, so this integer is deficient. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 431 × 2819
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 119,387,520
Proper Divisor Sum 56,208,092
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #63179423 ← → #63179447

Radix Representation

Decimal 63179428
Binary 11110001000000101010100100 (26 bits)
Octal 0o361005244
Hexadecimal 0x3C40AA4

Divisor Catalog (24)

1 2 4 13 26 52 431 862 1,724 2,819 5,603 5,638 11,206 11,276 22,412 36,647 73,294 146,588 1,214,989 2,429,978 4,859,956 15,794,857 31,589,714 63,179,428

Collatz Trajectory (202 steps to reach 1)

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

63,179,428 31,589,714 15,794,857 47,384,572 23,692,286 11,846,143 35,538,430 17,769,215 53,307,646 26,653,823 79,961,470 39,980,735 119,942,206 59,971,103 179,913,310 89,956,655 269,869,966 134,934,983 404,804,950 202,402,475 607,207,426 303,603,713 910,811,140 455,405,570 227,702,785 683,108,356 341,554,178 170,777,089 512,331,268 256,165,634 128,082,817 384,248,452 192,124,226 96,062,113 288,186,340 144,093,170 72,046,585 216,139,756 108,069,878 54,034,939 162,104,818 81,052,409 243,157,228 121,578,614 60,789,307 182,367,922 91,183,961 273,551,884 136,775,942 68,387,971 205,163,914 102,581,957 307,745,872 153,872,936 76,936,468 38,468,234 19,234,117 57,702,352 28,851,176 14,425,588

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