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Atlas › Integer Profiles › Node 3,021,124

3,021,124

22 × 37 × 137 × 149
Deficient Even Composite

3,021,124 factors as 2^2 × 37 × 137 × 149. Its 24 positive divisors give a proper-divisor sum of 2,485,076, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 137 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,506,200
Proper Divisor Sum 2,485,076
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3021107 ← → #3021131

Radix Representation

Decimal 3021124
Binary 1011100001100101000100 (22 bits)
Octal 0o13414504
Hexadecimal 0x2E1944

Divisor Catalog (24)

1 2 4 37 74 137 148 149 274 298 548 596 5,069 5,513 10,138 11,026 20,276 20,413 22,052 40,826 81,652 755,281 1,510,562 3,021,124

Collatz Trajectory (89 steps to reach 1)

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

3,021,124 1,510,562 755,281 2,265,844 1,132,922 566,461 1,699,384 849,692 424,846 212,423 637,270 318,635 955,906 477,953 1,433,860 716,930 358,465 1,075,396 537,698 268,849 806,548 403,274 201,637 604,912 302,456 151,228 75,614 37,807 113,422 56,711 170,134 85,067 255,202 127,601 382,804 191,402 95,701 287,104 143,552 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533

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