2,416,545

3² × 5 × 83 × 647

Starting at 2,416,545, the Collatz iteration reaches 1 after 117 steps. The first transition is 7249636; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 83 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,245,696

Proper Divisor Sum 1,829,151

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2416517 ← → #2416577

Radix Representation

Decimal	2416545
Binary	1001001101111110100001 (22 bits)
Octal	0o11157641
Hexadecimal	0x24DFA1

Divisor Catalog (24)

1 3 5 9 15 45 83 249 415 647 747 1,245 1,941 3,235 3,735 5,823 9,705 29,115 53,701 161,103 268,505 483,309 805,515 2,416,545

Collatz Trajectory (117 steps to reach 1)

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

2,416,545 7,249,636 3,624,818 1,812,409 5,437,228 2,718,614 1,359,307 4,077,922 2,038,961 6,116,884 3,058,442 1,529,221 4,587,664 2,293,832 1,146,916 573,458 286,729 860,188 430,094 215,047 645,142 322,571 967,714 483,857 1,451,572 725,786 362,893 1,088,680 544,340 272,170 136,085 408,256 204,128 102,064 51,032 25,516 12,758 6,379 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334

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