1,123,700

2² × 5² × 17 × 661

1,123,700 factors as 2^2 × 5^2 × 17 × 661. Its 36 positive divisors give a proper-divisor sum of 1,462,072, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 17 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,585,772

Proper Divisor Sum 1,462,072

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1123699 ← → #1123709

Radix Representation

Decimal	1123700
Binary	100010010010101110100 (21 bits)
Octal	0o4222564
Hexadecimal	0x112574

Divisor Catalog (36)

Collatz Trajectory (72 steps to reach 1)

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

1,123,700 561,850 280,925 842,776 421,388 210,694 105,347 316,042 158,021 474,064 237,032 118,516 59,258 29,629 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34

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