1,283,607

3⁴ × 13 × 23 × 53

Starting at 1,283,607, the Collatz iteration reaches 1 after 261 steps. The first transition is 3850822; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 13 × 23 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,195,424

Proper Divisor Sum 911,817

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1283603 ← → #1283677

Radix Representation

Decimal	1283607
Binary	100111001011000010111 (21 bits)
Octal	0o4713027
Hexadecimal	0x139617

Divisor Catalog (40)

1 3 9 13 23 27 39 53 69 81 117 159 207 299 351 477 621 689 897 1,053 1,219 1,431 1,863 2,067 2,691 3,657 4,293 6,201 8,073 10,971 15,847 18,603 24,219 32,913 47,541 55,809 98,739 142,623 427,869 1,283,607

Collatz Trajectory (261 steps to reach 1)

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

1,283,607 3,850,822 1,925,411 5,776,234 2,888,117 8,664,352 4,332,176 2,166,088 1,083,044 541,522 270,761 812,284 406,142 203,071 609,214 304,607 913,822 456,911 1,370,734 685,367 2,056,102 1,028,051 3,084,154 1,542,077 4,626,232 2,313,116 1,156,558 578,279 1,734,838 867,419 2,602,258 1,301,129 3,903,388 1,951,694 975,847 2,927,542 1,463,771 4,391,314 2,195,657 6,586,972 3,293,486 1,646,743 4,940,230 2,470,115 7,410,346 3,705,173 11,115,520 5,557,760 2,778,880 1,389,440 694,720 347,360 173,680 86,840 43,420 21,710 10,855 32,566 16,283 48,850

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