4,909,178

2 × 29 × 53 × 1597

Starting at 4,909,178, the Collatz iteration reaches 1 after 206 steps. The first transition is 2454589; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 53 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,766,280

Proper Divisor Sum 2,857,102

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #4909169 ← → #4909183

Radix Representation

Decimal	4909178
Binary	10010101110100001111010 (23 bits)
Octal	0o22564172
Hexadecimal	0x4AE87A

Divisor Catalog (16)

1 2 29 53 58 106 1,537 1,597 3,074 3,194 46,313 84,641 92,626 169,282 2,454,589 4,909,178

Collatz Trajectory (206 steps to reach 1)

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

4,909,178 2,454,589 7,363,768 3,681,884 1,840,942 920,471 2,761,414 1,380,707 4,142,122 2,071,061 6,213,184 3,106,592 1,553,296 776,648 388,324 194,162 97,081 291,244 145,622 72,811 218,434 109,217 327,652 163,826 81,913 245,740 122,870 61,435 184,306 92,153 276,460 138,230 69,115 207,346 103,673 311,020 155,510 77,755 233,266 116,633 349,900 174,950 87,475 262,426 131,213 393,640 196,820 98,410 49,205 147,616 73,808 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865

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