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3,970,528

25 × 127 × 977
Deficient Even Composite

3,970,528 factors as 2^5 × 127 × 977. Its 24 positive divisors give a proper-divisor sum of 3,916,064, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 127 × 977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,886,592
Proper Divisor Sum 3,916,064
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3970493 ← → #3970529

Radix Representation

Decimal 3970528
Binary 1111001001010111100000 (22 bits)
Octal 0o17112740
Hexadecimal 0x3C95E0

Divisor Catalog (24)

1 2 4 8 16 32 127 254 508 977 1,016 1,954 2,032 3,908 4,064 7,816 15,632 31,264 124,079 248,158 496,316 992,632 1,985,264 3,970,528

Collatz Trajectory (185 steps to reach 1)

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

3,970,528 1,985,264 992,632 496,316 248,158 124,079 372,238 186,119 558,358 279,179 837,538 418,769 1,256,308 628,154 314,077 942,232 471,116 235,558 117,779 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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