2,121,629

577 × 3677

2,121,629 has digital root 5. The neighboring primes are 2121619 and 2121631; its proper-divisor sum differs from the starting integer by -2,117,374.

Prime Factor Structure

Factorization String 577 × 3677

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,125,884

Proper Divisor Sum 4,255

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2121619 ← → #2121631

Radix Representation

Decimal	2121629
Binary	1000000101111110011101 (22 bits)
Octal	0o10057635
Hexadecimal	0x205F9D

Divisor Catalog (4)

1 577 3,677 2,121,629

Collatz Trajectory (104 steps to reach 1)

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

2,121,629 6,364,888 3,182,444 1,591,222 795,611 2,386,834 1,193,417 3,580,252 1,790,126 895,063 2,685,190 1,342,595 4,027,786 2,013,893 6,041,680 3,020,840 1,510,420 755,210 377,605 1,132,816 566,408 283,204 141,602 70,801 212,404 106,202 53,101 159,304 79,652 39,826 19,913 59,740 29,870 14,935 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374

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