2,407,408

2⁴ × 379 × 397

Starting at 2,407,408, the Collatz iteration reaches 1 after 91 steps. The first transition is 1203704; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 379 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,688,440

Proper Divisor Sum 2,281,032

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2407403 ← → #2407411

Radix Representation

Decimal	2407408
Binary	1001001011101111110000 (22 bits)
Octal	0o11135760
Hexadecimal	0x24BBF0

Divisor Catalog (20)

1 2 4 8 16 379 397 758 794 1,516 1,588 3,032 3,176 6,064 6,352 150,463 300,926 601,852 1,203,704 2,407,408

Collatz Trajectory (91 steps to reach 1)

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

2,407,408 1,203,704 601,852 300,926 150,463 451,390 225,695 677,086 338,543 1,015,630 507,815 1,523,446 761,723 2,285,170 1,142,585 3,427,756 1,713,878 856,939 2,570,818 1,285,409 3,856,228 1,928,114 964,057 2,892,172 1,446,086 723,043 2,169,130 1,084,565 3,253,696 1,626,848 813,424 406,712 203,356 101,678 50,839 152,518 76,259 228,778 114,389 343,168 171,584 85,792 42,896 21,448 10,724 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280

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