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Atlas › Integer Profiles › Node 3,744,784

3,744,784

24 × 43 × 5443
Deficient Even Composite

3,744,784 factors as 2^4 × 43 × 5443. Its 20 positive divisors give a proper-divisor sum of 3,680,832, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 5443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,425,616
Proper Divisor Sum 3,680,832
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3744781 ← → #3744787

Radix Representation

Decimal 3744784
Binary 1110010010010000010000 (22 bits)
Octal 0o16222020
Hexadecimal 0x392410

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 5,443 10,886 21,772 43,544 87,088 234,049 468,098 936,196 1,872,392 3,744,784

Collatz Trajectory (278 steps to reach 1)

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

3,744,784 1,872,392 936,196 468,098 234,049 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550

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