1,072,884

2² × 3 × 29 × 3083

1,072,884 factors as 2^2 × 3 × 29 × 3083. Its 24 positive divisors give a proper-divisor sum of 1,517,676, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,590,560

Proper Divisor Sum 1,517,676

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1072867 ← → #1072901

Radix Representation

Decimal	1072884
Binary	100000101111011110100 (21 bits)
Octal	0o4057364
Hexadecimal	0x105EF4

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

1,072,884 536,442 268,221 804,664 402,332 201,166 100,583 301,750 150,875 452,626 226,313 678,940 339,470 169,735 509,206 254,603 763,810 381,905 1,145,716 572,858 286,429 859,288 429,644 214,822 107,411 322,234 161,117 483,352 241,676 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808

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