2,499,648

2⁶ × 3 × 47 × 277

Starting at 2,499,648, the Collatz iteration reaches 1 after 174 steps. The first transition is 1249824; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 47 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 6,778,752

Proper Divisor Sum 4,279,104

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2499643 ← → #2499661

Radix Representation

Decimal	2499648
Binary	1001100010010001000000 (22 bits)
Octal	0o11422100
Hexadecimal	0x262440

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 277 282 376 554 564 752 831 1,108 1,128 1,504 1,662 2,216 2,256 3,008 3,324 4,432 4,512 6,648 8,864 9,024 13,019 13,296 17,728 26,038 26,592 39,057 52,076 53,184 78,114 104,152 156,228 208,304 312,456 416,608 624,912 833,216 1,249,824 2,499,648

Collatz Trajectory (174 steps to reach 1)

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

2,499,648 1,249,824 624,912 312,456 156,228 78,114 39,057 117,172 58,586 29,293 87,880 43,940 21,970 10,985 32,956 16,478 8,239 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644

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