λ
Ratio Atlas

3,488,585

5 × 31 × 71 × 317
Deficient Odd Composite

3,488,585 factors as 5 × 31 × 71 × 317. Its 16 positive divisors give a proper-divisor sum of 907,447, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 5 × 31 × 71 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,396,032
Proper Divisor Sum 907,447
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3488543 ← → #3488591

Radix Representation

Decimal 3488585
Binary 1101010011101101001001 (22 bits)
Octal 0o15235511
Hexadecimal 0x353B49

Divisor Catalog (16)

1 5 31 71 155 317 355 1,585 2,201 9,827 11,005 22,507 49,135 112,535 697,717 3,488,585

Collatz Trajectory (190 steps to reach 1)

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

3,488,585 10,465,756 5,232,878 2,616,439 7,849,318 3,924,659 11,773,978 5,886,989 17,660,968 8,830,484 4,415,242 2,207,621 6,622,864 3,311,432 1,655,716 827,858 413,929 1,241,788 620,894 310,447 931,342 465,671 1,397,014 698,507 2,095,522 1,047,761 3,143,284 1,571,642 785,821 2,357,464 1,178,732 589,366 294,683 884,050 442,025 1,326,076 663,038 331,519 994,558 497,279 1,491,838 745,919 2,237,758 1,118,879 3,356,638 1,678,319 5,034,958 2,517,479 7,552,438 3,776,219 11,328,658 5,664,329 16,992,988 8,496,494 4,248,247 12,744,742 6,372,371 19,117,114 9,558,557 28,675,672

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