λ
Integer Codex

610,441

13 × 46957
Deficient Odd Composite

For 610,441, the 4 positive divisors have a total of 657,412. Removing 610,441 leaves 46,971, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 46957
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 657,412
Proper Divisor Sum 46,971
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #610439 ← → #610447

Radix Representation

Decimal 610441
Binary 10010101000010001001 (20 bits)
Octal 0o2250211
Hexadecimal 0x95089

Divisor Catalog (4)

1 13 46,957 610,441

Collatz Trajectory (234 steps to reach 1)

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

610,441 1,831,324 915,662 457,831 1,373,494 686,747 2,060,242 1,030,121 3,090,364 1,545,182 772,591 2,317,774 1,158,887 3,476,662 1,738,331 5,214,994 2,607,497 7,822,492 3,911,246 1,955,623 5,866,870 2,933,435 8,800,306 4,400,153 13,200,460 6,600,230 3,300,115 9,900,346 4,950,173 14,850,520 7,425,260 3,712,630 1,856,315 5,568,946 2,784,473 8,353,420 4,176,710 2,088,355 6,265,066 3,132,533 9,397,600 4,698,800 2,349,400 1,174,700 587,350 293,675 881,026 440,513 1,321,540 660,770 330,385 991,156 495,578 247,789 743,368 371,684 185,842 92,921 278,764 139,382

More profiles

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