1,407,357

3² × 7 × 89 × 251

Starting at 1,407,357, the Collatz iteration reaches 1 after 75 steps. The first transition is 4222072; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 89 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,358,720

Proper Divisor Sum 951,363

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1407337 ← → #1407361

Radix Representation

Decimal	1407357
Binary	101010111100101111101 (21 bits)
Octal	0o5274575
Hexadecimal	0x15797D

Divisor Catalog (24)

1 3 7 9 21 63 89 251 267 623 753 801 1,757 1,869 2,259 5,271 5,607 15,813 22,339 67,017 156,373 201,051 469,119 1,407,357

Collatz Trajectory (75 steps to reach 1)

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

1,407,357 4,222,072 2,111,036 1,055,518 527,759 1,583,278 791,639 2,374,918 1,187,459 3,562,378 1,781,189 5,343,568 2,671,784 1,335,892 667,946 333,973 1,001,920 500,960 250,480 125,240 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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