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Atlas › Integer Profiles › Node 2,984,824

2,984,824

23 × 19 × 73 × 269
Abundant Even Composite

2,984,824 factors as 2^3 × 19 × 73 × 269. Its 32 positive divisors give a proper-divisor sum of 3,009,176, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 73 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,994,000
Proper Divisor Sum 3,009,176
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2984803 ← → #2984831

Radix Representation

Decimal 2984824
Binary 1011011000101101111000 (22 bits)
Octal 0o13305570
Hexadecimal 0x2D8B78

Divisor Catalog (32)

1 2 4 8 19 38 73 76 146 152 269 292 538 584 1,076 1,387 2,152 2,774 5,111 5,548 10,222 11,096 19,637 20,444 39,274 40,888 78,548 157,096 373,103 746,206 1,492,412 2,984,824

Collatz Trajectory (182 steps to reach 1)

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

2,984,824 1,492,412 746,206 373,103 1,119,310 559,655 1,678,966 839,483 2,518,450 1,259,225 3,777,676 1,888,838 944,419 2,833,258 1,416,629 4,249,888 2,124,944 1,062,472 531,236 265,618 132,809 398,428 199,214 99,607 298,822 149,411 448,234 224,117 672,352 336,176 168,088 84,044 42,022 21,011 63,034 31,517 94,552 47,276 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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