2,981,025

3² × 5² × 13249

2,981,025 has digital root 9. The neighboring primes are 2981023 and 2981029; its proper-divisor sum differs from the starting integer by -622,300.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,339,750

Proper Divisor Sum 2,358,725

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2981023 ← → #2981029

Radix Representation

Decimal	2981025
Binary	1011010111110010100001 (22 bits)
Octal	0o13276241
Hexadecimal	0x2D7CA1

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 13,249 39,747 66,245 119,241 198,735 331,225 596,205 993,675 2,981,025

Collatz Trajectory (226 steps to reach 1)

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

2,981,025 8,943,076 4,471,538 2,235,769 6,707,308 3,353,654 1,676,827 5,030,482 2,515,241 7,545,724 3,772,862 1,886,431 5,659,294 2,829,647 8,488,942 4,244,471 12,733,414 6,366,707 19,100,122 9,550,061 28,650,184 14,325,092 7,162,546 3,581,273 10,743,820 5,371,910 2,685,955 8,057,866 4,028,933 12,086,800 6,043,400 3,021,700 1,510,850 755,425 2,266,276 1,133,138 566,569 1,699,708 849,854 424,927 1,274,782 637,391 1,912,174 956,087 2,868,262 1,434,131 4,302,394 2,151,197 6,453,592 3,226,796 1,613,398 806,699 2,420,098 1,210,049 3,630,148 1,815,074 907,537 2,722,612 1,361,306 680,653

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