4,136,356

2² × 7 × 147727

4,136,356 factors as 2^2 × 7 × 147727. Its 12 positive divisors give a proper-divisor sum of 4,136,412, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 147727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,272,768

Proper Divisor Sum 4,136,412

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4136351 ← → #4136369

Radix Representation

Decimal	4136356
Binary	1111110001110110100100 (22 bits)
Octal	0o17616644
Hexadecimal	0x3F1DA4

Divisor Catalog (12)

1 2 4 7 14 28 147,727 295,454 590,908 1,034,089 2,068,178 4,136,356

Collatz Trajectory (211 steps to reach 1)

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

4,136,356 2,068,178 1,034,089 3,102,268 1,551,134 775,567 2,326,702 1,163,351 3,490,054 1,745,027 5,235,082 2,617,541 7,852,624 3,926,312 1,963,156 981,578 490,789 1,472,368 736,184 368,092 184,046 92,023 276,070 138,035 414,106 207,053 621,160 310,580 155,290 77,645 232,936 116,468 58,234 29,117 87,352 43,676 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239

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