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Atlas › Integer Profiles › Node 3,972,064

3,972,064

25 × 19 × 47 × 139
Abundant Even Composite

3,972,064 factors as 2^5 × 19 × 47 × 139. Its 48 positive divisors give a proper-divisor sum of 4,495,136, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 47 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,467,200
Proper Divisor Sum 4,495,136
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3972037 ← → #3972071

Radix Representation

Decimal 3972064
Binary 1111001001101111100000 (22 bits)
Octal 0o17115740
Hexadecimal 0x3C9BE0

Divisor Catalog (48)

1 2 4 8 16 19 32 38 47 76 94 139 152 188 278 304 376 556 608 752 893 1,112 1,504 1,786 2,224 2,641 3,572 4,448 5,282 6,533 7,144 10,564 13,066 14,288 21,128 26,132 28,576 42,256 52,264 84,512 104,528 124,127 209,056 248,254 496,508 993,016 1,986,032 3,972,064

Collatz Trajectory (185 steps to reach 1)

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

3,972,064 1,986,032 993,016 496,508 248,254 124,127 372,382 186,191 558,574 279,287 837,862 418,931 1,256,794 628,397 1,885,192 942,596 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123 447,370 223,685 671,056 335,528 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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