λ
Sequence Observatory

2,356,710

2 × 3 × 5 × 17 × 4621
Abundant Even Composite

Starting at 2,356,710, the Collatz iteration reaches 1 after 174 steps. The first transition is 1178355; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 4621
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,990,112
Proper Divisor Sum 3,633,402
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2356699 ← → #2356763

Radix Representation

Decimal 2356710
Binary 1000111111010111100110 (22 bits)
Octal 0o10772746
Hexadecimal 0x23F5E6

Divisor Catalog (32)

1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 4,621 9,242 13,863 23,105 27,726 46,210 69,315 78,557 138,630 157,114 235,671 392,785 471,342 785,570 1,178,355 2,356,710

Collatz Trajectory (174 steps to reach 1)

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

2,356,710 1,178,355 3,535,066 1,767,533 5,302,600 2,651,300 1,325,650 662,825 1,988,476 994,238 497,119 1,491,358 745,679 2,237,038 1,118,519 3,355,558 1,677,779 5,033,338 2,516,669 7,550,008 3,775,004 1,887,502 943,751 2,831,254 1,415,627 4,246,882 2,123,441 6,370,324 3,185,162 1,592,581 4,777,744 2,388,872 1,194,436 597,218 298,609 895,828 447,914 223,957 671,872 335,936 167,968 83,984 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956

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