8,413,205

5 × 337 × 4993

Starting at 8,413,205, the Collatz iteration reaches 1 after 93 steps. The first transition is 25239616; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 337 × 4993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,127,832

Proper Divisor Sum 1,714,627

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8413201 ← → #8413211

Radix Representation

Decimal	8413205
Binary	100000000110000000010101 (24 bits)
Octal	0o40060025
Hexadecimal	0x806015

Divisor Catalog (8)

1 5 337 1,685 4,993 24,965 1,682,641 8,413,205

Collatz Trajectory (93 steps to reach 1)

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

8,413,205 25,239,616 12,619,808 6,309,904 3,154,952 1,577,476 788,738 394,369 1,183,108 591,554 295,777 887,332 443,666 221,833 665,500 332,750 166,375 499,126 249,563 748,690 374,345 1,123,036 561,518 280,759 842,278 421,139 1,263,418 631,709 1,895,128 947,564 473,782 236,891 710,674 355,337 1,066,012 533,006 266,503 799,510 399,755 1,199,266 599,633 1,798,900 899,450 449,725 1,349,176 674,588 337,294 168,647 505,942 252,971 758,914 379,457 1,138,372 569,186 284,593 853,780 426,890 213,445 640,336 320,168

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