λ
Sequence Observatory

5,762,407

7 × 823201
Deficient Odd Composite

Starting at 5,762,407, the Collatz iteration reaches 1 after 121 steps. The first transition is 17287222; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 823201
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,585,616
Proper Divisor Sum 823,209
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5762381 ← → #5762411

Radix Representation

Decimal 5762407
Binary 10101111110110101100111 (23 bits)
Octal 0o25766547
Hexadecimal 0x57ED67

Divisor Catalog (4)

1 7 823,201 5,762,407

Collatz Trajectory (121 steps to reach 1)

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

5,762,407 17,287,222 8,643,611 25,930,834 12,965,417 38,896,252 19,448,126 9,724,063 29,172,190 14,586,095 43,758,286 21,879,143 65,637,430 32,818,715 98,456,146 49,228,073 147,684,220 73,842,110 36,921,055 110,763,166 55,381,583 166,144,750 83,072,375 249,217,126 124,608,563 373,825,690 186,912,845 560,738,536 280,369,268 140,184,634 70,092,317 210,276,952 105,138,476 52,569,238 26,284,619 78,853,858 39,426,929 118,280,788 59,140,394 29,570,197 88,710,592 44,355,296 22,177,648 11,088,824 5,544,412 2,772,206 1,386,103 4,158,310 2,079,155 6,237,466 3,118,733 9,356,200 4,678,100 2,339,050 1,169,525 3,508,576 1,754,288 877,144 438,572 219,286

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