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Atlas › Integer Profiles › Node 3,974,752

3,974,752

25 × 223 × 557
Deficient Even Composite

3,974,752 factors as 2^5 × 223 × 557. Its 24 positive divisors give a proper-divisor sum of 3,899,744, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^5 × 223 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,874,496
Proper Divisor Sum 3,899,744
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3974749 ← → #3974759

Radix Representation

Decimal 3974752
Binary 1111001010011001100000 (22 bits)
Octal 0o17123140
Hexadecimal 0x3CA660

Divisor Catalog (24)

1 2 4 8 16 32 223 446 557 892 1,114 1,784 2,228 3,568 4,456 7,136 8,912 17,824 124,211 248,422 496,844 993,688 1,987,376 3,974,752

Collatz Trajectory (66 steps to reach 1)

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

3,974,752 1,987,376 993,688 496,844 248,422 124,211 372,634 186,317 558,952 279,476 139,738 69,869 209,608 104,804 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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