5,396,728

2³ × 31 × 47 × 463

Starting at 5,396,728, the Collatz iteration reaches 1 after 188 steps. The first transition is 2698364; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 31 × 47 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,690,560

Proper Divisor Sum 5,293,832

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #5396723 ← → #5396737

Radix Representation

Decimal	5396728
Binary	10100100101100011111000 (23 bits)
Octal	0o24454370
Hexadecimal	0x5258F8

Divisor Catalog (32)

1 2 4 8 31 47 62 94 124 188 248 376 463 926 1,457 1,852 2,914 3,704 5,828 11,656 14,353 21,761 28,706 43,522 57,412 87,044 114,824 174,088 674,591 1,349,182 2,698,364 5,396,728

Collatz Trajectory (188 steps to reach 1)

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

5,396,728 2,698,364 1,349,182 674,591 2,023,774 1,011,887 3,035,662 1,517,831 4,553,494 2,276,747 6,830,242 3,415,121 10,245,364 5,122,682 2,561,341 7,684,024 3,842,012 1,921,006 960,503 2,881,510 1,440,755 4,322,266 2,161,133 6,483,400 3,241,700 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729 2,735,188 1,367,594 683,797 2,051,392 1,025,696 512,848 256,424 128,212 64,106 32,053 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710

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