λ
Prime Ledger

2,990,436

22 × 3 × 17 × 107 × 137
Abundant Even Composite

2,990,436 has the prime decomposition 2^2 × 3 × 17 × 107 × 137. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 107 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,511,616
Proper Divisor Sum 4,521,180
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2990423 ← → #2990441

Radix Representation

Decimal 2990436
Binary 1011011010000101100100 (22 bits)
Octal 0o13320544
Hexadecimal 0x2DA164

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 102 107 137 204 214 274 321 411 428 548 642 822 1,284 1,644 1,819 2,329 3,638 4,658 5,457 6,987 7,276 9,316 10,914 13,974 14,659 21,828 27,948 29,318 43,977 58,636 87,954 175,908 249,203 498,406 747,609 996,812 1,495,218 2,990,436

Collatz Trajectory (89 steps to reach 1)

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

2,990,436 1,495,218 747,609 2,242,828 1,121,414 560,707 1,682,122 841,061 2,523,184 1,261,592 630,796 315,398 157,699 473,098 236,549 709,648 354,824 177,412 88,706 44,353 133,060 66,530 33,265 99,796 49,898 24,949 74,848 37,424 18,712 9,356 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

More profiles

← Previous Integer #2,990,435 Browse Full Index Next Integer #2,990,437 →