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Atlas › Integer Profiles › Node 58,369,408

58,369,408

27 × 592 × 131
Abundant Even Composite

58,369,408 factors as 2^7 × 59^2 × 131. Its 48 positive divisors give a proper-divisor sum of 60,820,652, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^7 × 59^2 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,190,060
Proper Divisor Sum 60,820,652
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #58369403 ← → #58369417

Radix Representation

Decimal 58369408
Binary 11011110101010010110000000 (26 bits)
Octal 0o336522600
Hexadecimal 0x37AA580

Divisor Catalog (48)

1 2 4 8 16 32 59 64 118 128 131 236 262 472 524 944 1,048 1,888 2,096 3,481 3,776 4,192 6,962 7,552 7,729 8,384 13,924 15,458 16,768 27,848 30,916 55,696 61,832 111,392 123,664 222,784 247,328 445,568 456,011 494,656 912,022 989,312 1,824,044 3,648,088 7,296,176 14,592,352 29,184,704 58,369,408

Collatz Trajectory (114 steps to reach 1)

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

58,369,408 29,184,704 14,592,352 7,296,176 3,648,088 1,824,044 912,022 456,011 1,368,034 684,017 2,052,052 1,026,026 513,013 1,539,040 769,520 384,760 192,380 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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