λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,774,440

5,774,440

23 × 5 × 7 × 41 × 503
Abundant Even Composite

5,774,440 factors as 2^3 × 5 × 7 × 41 × 503. Its 64 positive divisors give a proper-divisor sum of 9,466,520, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 41 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,240,960
Proper Divisor Sum 9,466,520
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5774429 ← → #5774453

Radix Representation

Decimal 5774440
Binary 10110000001110001101000 (23 bits)
Octal 0o26016150
Hexadecimal 0x581C68

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 503 574 820 1,006 1,148 1,435 1,640 2,012 2,296 2,515 2,870 3,521 4,024 5,030 5,740 7,042 10,060 11,480 14,084 17,605 20,120 20,623 28,168 35,210 41,246 70,420 82,492 103,115 140,840 144,361 164,984 206,230 288,722 412,460 577,444 721,805 824,920

Collatz Trajectory (95 steps to reach 1)

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

5,774,440 2,887,220 1,443,610 721,805 2,165,416 1,082,708 541,354 270,677 812,032 406,016 203,008 101,504 50,752 25,376 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,774,439 Browse Full Index Next Integer #5,774,441 →