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Atlas › Integer Profiles › Node 14,421,004

14,421,004

22 × 13 × 29 × 73 × 131
Deficient Even Composite

14,421,004 factors as 2^2 × 13 × 29 × 73 × 131. Its 48 positive divisors give a proper-divisor sum of 14,296,916, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 73 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,717,920
Proper Divisor Sum 14,296,916
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #14420969 ← → #14421047

Radix Representation

Decimal 14421004
Binary 110111000000110000001100 (24 bits)
Octal 0o67006014
Hexadecimal 0xDC0C0C

Divisor Catalog (48)

1 2 4 13 26 29 52 58 73 116 131 146 262 292 377 524 754 949 1,508 1,703 1,898 2,117 3,406 3,796 3,799 4,234 6,812 7,598 8,468 9,563 15,196 19,126 27,521 38,252 49,387 55,042 98,774 110,084 124,319 197,548 248,638 277,327 497,276 554,654 1,109,308 3,605,251 7,210,502 14,421,004

Collatz Trajectory (192 steps to reach 1)

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

14,421,004 7,210,502 3,605,251 10,815,754 5,407,877 16,223,632 8,111,816 4,055,908 2,027,954 1,013,977 3,041,932 1,520,966 760,483 2,281,450 1,140,725 3,422,176 1,711,088 855,544 427,772 213,886 106,943 320,830 160,415 481,246 240,623 721,870 360,935 1,082,806 541,403 1,624,210 812,105 2,436,316 1,218,158 609,079 1,827,238 913,619 2,740,858 1,370,429 4,111,288 2,055,644 1,027,822 513,911 1,541,734 770,867 2,312,602 1,156,301 3,468,904 1,734,452 867,226 433,613 1,300,840 650,420 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466

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