λ
Sequence Observatory

5,665,090

2 × 5 × 71 × 79 × 101
Deficient Even Composite

Starting at 5,665,090, the Collatz iteration reaches 1 after 201 steps. The first transition is 2832545; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 79 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,575,360
Proper Divisor Sum 4,910,270
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5665081 ← → #5665109

Radix Representation

Decimal 5665090
Binary 10101100111000101000010 (23 bits)
Octal 0o25470502
Hexadecimal 0x567142

Divisor Catalog (32)

1 2 5 10 71 79 101 142 158 202 355 395 505 710 790 1,010 5,609 7,171 7,979 11,218 14,342 15,958 28,045 35,855 39,895 56,090 71,710 79,790 566,509 1,133,018 2,832,545 5,665,090

Collatz Trajectory (201 steps to reach 1)

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

5,665,090 2,832,545 8,497,636 4,248,818 2,124,409 6,373,228 3,186,614 1,593,307 4,779,922 2,389,961 7,169,884 3,584,942 1,792,471 5,377,414 2,688,707 8,066,122 4,033,061 12,099,184 6,049,592 3,024,796 1,512,398 756,199 2,268,598 1,134,299 3,402,898 1,701,449 5,104,348 2,552,174 1,276,087 3,828,262 1,914,131 5,742,394 2,871,197 8,613,592 4,306,796 2,153,398 1,076,699 3,230,098 1,615,049 4,845,148 2,422,574 1,211,287 3,633,862 1,816,931 5,450,794 2,725,397 8,176,192 4,088,096 2,044,048 1,022,024 511,012 255,506 127,753 383,260 191,630 95,815 287,446 143,723 431,170 215,585

More profiles

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