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Atlas › Integer Profiles › Node 5,179,077

5,179,077

32 × 19 × 31 × 977
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 19 × 31 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,136,960
Proper Divisor Sum 2,957,883
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5179073 ← → #5179093

Radix Representation

Decimal 5179077
Binary 10011110000011011000101 (23 bits)
Octal 0o23603305
Hexadecimal 0x4F06C5

Divisor Catalog (24)

1 3 9 19 31 57 93 171 279 589 977 1,767 2,931 5,301 8,793 18,563 30,287 55,689 90,861 167,067 272,583 575,453 1,726,359 5,179,077

Collatz Trajectory (95 steps to reach 1)

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

5,179,077 15,537,232 7,768,616 3,884,308 1,942,154 971,077 2,913,232 1,456,616 728,308 364,154 182,077 546,232 273,116 136,558 68,279 204,838 102,419 307,258 153,629 460,888 230,444 115,222 57,611 172,834 86,417 259,252 129,626 64,813 194,440 97,220 48,610 24,305 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917

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