5,321,457

3⁵ × 61 × 359

Starting at 5,321,457, the Collatz iteration reaches 1 after 157 steps. The first transition is 15964372; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 61 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,124,480

Proper Divisor Sum 2,803,023

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5321443 ← → #5321467

Radix Representation

Decimal	5321457
Binary	10100010011001011110001 (23 bits)
Octal	0o24231361
Hexadecimal	0x5132F1

Divisor Catalog (24)

1 3 9 27 61 81 183 243 359 549 1,077 1,647 3,231 4,941 9,693 14,823 21,899 29,079 65,697 87,237 197,091 591,273 1,773,819 5,321,457

Collatz Trajectory (157 steps to reach 1)

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

5,321,457 15,964,372 7,982,186 3,991,093 11,973,280 5,986,640 2,993,320 1,496,660 748,330 374,165 1,122,496 561,248 280,624 140,312 70,156 35,078 17,539 52,618 26,309 78,928 39,464 19,732 9,866 4,933 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161

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