λ
Sequence Observatory

5,777,901

32 × 53 × 12113
Deficient Odd Composite

Starting at 5,777,901, the Collatz iteration reaches 1 after 214 steps. The first transition is 17333704; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 12113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,504,028
Proper Divisor Sum 2,726,127
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5777887 ← → #5777903

Radix Representation

Decimal 5777901
Binary 10110000010100111101101 (23 bits)
Octal 0o26024755
Hexadecimal 0x5829ED

Divisor Catalog (12)

1 3 9 53 159 477 12,113 36,339 109,017 641,989 1,925,967 5,777,901

Collatz Trajectory (214 steps to reach 1)

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

5,777,901 17,333,704 8,666,852 4,333,426 2,166,713 6,500,140 3,250,070 1,625,035 4,875,106 2,437,553 7,312,660 3,656,330 1,828,165 5,484,496 2,742,248 1,371,124 685,562 342,781 1,028,344 514,172 257,086 128,543 385,630 192,815 578,446 289,223 867,670 433,835 1,301,506 650,753 1,952,260 976,130 488,065 1,464,196 732,098 366,049 1,098,148 549,074 274,537 823,612 411,806 205,903 617,710 308,855 926,566 463,283 1,389,850 694,925 2,084,776 1,042,388 521,194 260,597 781,792 390,896 195,448 97,724 48,862 24,431 73,294 36,647

More profiles

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