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Atlas › Integer Profiles › Node 4,037,576

4,037,576

23 × 19 × 101 × 263
Abundant Even Composite

4,037,576 factors as 2^3 × 19 × 101 × 263. Its 32 positive divisors give a proper-divisor sum of 4,040,824, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 101 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,078,400
Proper Divisor Sum 4,040,824
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4037573 ← → #4037587

Radix Representation

Decimal 4037576
Binary 1111011001101111001000 (22 bits)
Octal 0o17315710
Hexadecimal 0x3D9BC8

Divisor Catalog (32)

1 2 4 8 19 38 76 101 152 202 263 404 526 808 1,052 1,919 2,104 3,838 4,997 7,676 9,994 15,352 19,988 26,563 39,976 53,126 106,252 212,504 504,697 1,009,394 2,018,788 4,037,576

Collatz Trajectory (123 steps to reach 1)

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

4,037,576 2,018,788 1,009,394 504,697 1,514,092 757,046 378,523 1,135,570 567,785 1,703,356 851,678 425,839 1,277,518 638,759 1,916,278 958,139 2,874,418 1,437,209 4,311,628 2,155,814 1,077,907 3,233,722 1,616,861 4,850,584 2,425,292 1,212,646 606,323 1,818,970 909,485 2,728,456 1,364,228 682,114 341,057 1,023,172 511,586 255,793 767,380 383,690 191,845 575,536 287,768 143,884 71,942 35,971 107,914 53,957 161,872 80,936 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270

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