1,248,408

2³ × 3² × 7 × 2477

Starting at 1,248,408, the Collatz iteration reaches 1 after 129 steps. The first transition is 624204; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 2477

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,865,680

Proper Divisor Sum 2,617,272

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1248407 ← → #1248413

Radix Representation

Decimal	1248408
Binary	100110000110010011000 (21 bits)
Octal	0o4606230
Hexadecimal	0x130C98

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2,477 4,954 7,431 9,908 14,862 17,339 19,816 22,293 29,724 34,678 44,586 52,017 59,448 69,356 89,172 104,034 138,712 156,051 178,344 208,068 312,102 416,136 624,204 1,248,408

Collatz Trajectory (129 steps to reach 1)

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

1,248,408 624,204 312,102 156,051 468,154 234,077 702,232 351,116 175,558 87,779 263,338 131,669 395,008 197,504 98,752 49,376 24,688 12,344 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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