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Atlas › Integer Profiles › Node 2,972,064

2,972,064

25 × 3 × 83 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 83 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,916,832
Proper Divisor Sum 4,944,768
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2972041 ← → #2972069

Radix Representation

Decimal 2972064
Binary 1011010101100110100000 (22 bits)
Octal 0o13254640
Hexadecimal 0x2D59A0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 373 498 664 746 996 1,119 1,328 1,492 1,992 2,238 2,656 2,984 3,984 4,476 5,968 7,968 8,952 11,936 17,904 30,959 35,808 61,918 92,877 123,836 185,754 247,672 371,508 495,344 743,016 990,688 1,486,032 2,972,064

Collatz Trajectory (151 steps to reach 1)

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

2,972,064 1,486,032 743,016 371,508 185,754 92,877 278,632 139,316 69,658 34,829 104,488 52,244 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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