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Modular Archive

3,411,461

3411461
Deficient Odd Prime

The decimal integer 3,411,461 is 1101000000111000000101 in binary (22 bits), 15007005 in octal and 340E05 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 3411461
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,411,462
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3411433 ← → #3411493

Radix Representation

Decimal 3411461
Binary 1101000000111000000101 (22 bits)
Octal 0o15007005
Hexadecimal 0x340E05

Divisor Catalog (2)

Collatz Trajectory (76 steps to reach 1)

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

3,411,461 10,234,384 5,117,192 2,558,596 1,279,298 639,649 1,918,948 959,474 479,737 1,439,212 719,606 359,803 1,079,410 539,705 1,619,116 809,558 404,779 1,214,338 607,169 1,821,508 910,754 455,377 1,366,132 683,066 341,533 1,024,600 512,300 256,150 128,075 384,226 192,113 576,340 288,170 144,085 432,256 216,128 108,064 54,032 27,016 13,508 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616

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