λ
Sequence Observatory

3,497,807

269 × 13003
Deficient Odd Composite

Starting at 3,497,807, the Collatz iteration reaches 1 after 296 steps. The first transition is 10493422; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 269 × 13003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,511,080
Proper Divisor Sum 13,273
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3497779 ← → #3497827

Radix Representation

Decimal 3497807
Binary 1101010101111101001111 (22 bits)
Octal 0o15257517
Hexadecimal 0x355F4F

Divisor Catalog (4)

1 269 13,003 3,497,807

Collatz Trajectory (296 steps to reach 1)

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

3,497,807 10,493,422 5,246,711 15,740,134 7,870,067 23,610,202 11,805,101 35,415,304 17,707,652 8,853,826 4,426,913 13,280,740 6,640,370 3,320,185 9,960,556 4,980,278 2,490,139 7,470,418 3,735,209 11,205,628 5,602,814 2,801,407 8,404,222 4,202,111 12,606,334 6,303,167 18,909,502 9,454,751 28,364,254 14,182,127 42,546,382 21,273,191 63,819,574 31,909,787 95,729,362 47,864,681 143,594,044 71,797,022 35,898,511 107,695,534 53,847,767 161,543,302 80,771,651 242,314,954 121,157,477 363,472,432 181,736,216 90,868,108 45,434,054 22,717,027 68,151,082 34,075,541 102,226,624 51,113,312 25,556,656 12,778,328 6,389,164 3,194,582 1,597,291 4,791,874

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